Solve by elimination -2x+2y=6 and 4x×2y=-5

Answers

Answer 1

Answer:

x=-11/6, y=7/6. (-11/6, 7/6).

Step-by-step explanation:

-2x+2y=6

4x+2y=-5

-----------------

2(-2x+2y)=2(6)

4x+2y=-5

----------------------

-4x+4y=12

4x+2y=-5

----------------

6y=7

y=7/6

4x+2(7/6)=-5

4x+14/6=-5

4x=-5-14/6

4x=-30/6-14/6

4x=-44/6

x=(-44/6)/4

x=(-44/6)(1/4)

x=-44/24

simplify

x=-11/6


Related Questions

Create a problem for the equation 3 + x equals 8 then solve the equation and write the answer to your problem

Answers

Answer:

Andy had 3 apples, and his mom surprised him with x apples. His mom told him that he had 8 apples in total. As he counted the apples he found out his mom gave him 5 apples By subtracting 8 and 3.

Step-by-step explanation:

Which property would be used to solve the expression x + 12 = 47 ?
Select one:
A. Inverse
B. Distributive
C. Associative
D. Commutative

Answers

A. Inverse

Explanation:

Basically, inverse Property of Addition states that if you add any number added to its opposite the result will be equal zero. So, here we have the following equation:

[tex]x + 12 = 47[/tex]

Adding -12 to both sides we get:

[tex]x + 12 - 12= 47-12 \\ \\ \\ But \ 12+(-12)=0 \\ \\ \\ So: \\ \\ x + 0= 35 \\ \\ Finally: \\ \\ \boxed{x=35}[/tex]

Learn more:

Distributive property: https://brainly.com/question/12256474

#LearnWithBrainly

Answer:

A. Inverse

Step-by-step explanation:

The given equation is [tex]x+12=47[/tex]

To solve this equation, we use the inverse property of addition.

We add the additive inverse of 12 to both sides to get:

[tex]x+12-12=47-12[/tex]

We then simplify to obtain:

[tex]x+0=35[/tex]

This gives us  x=35.

The correct answer is A

Dogs are inbred for such desirable characteristics as blue eye color; but an unfortunate by-product of such inbreeding can be the emergence of characteristics such as deafness. A 1992 study of Dalmatians (by Strain and others, as reported in The Dalmatians Dilemma) found the following:
(i) 31% of all Dalmatians have blue eyes.
(ii) 38% of all Dalmatians are deaf.
(iii) 42% of blue-eyed Dalmatians are deaf.
What is the probability that a randomly chosen Dalmatian is blue-eyed and deaf?

Answers

Answer:

0.1302 or 13.02%

Step-by-step explanation:

So we know that 31% of the Dalmatians are blue eyed so that is 0.31. We also know that 42% of blue eyed Dalmatians are deaf so that is 0.42.

To find the probability of a blue eyed deaf Dalmatian we need 42% of 31%, so we need to do:

0.42 × 0.31 = 0.1302 or 13.02%

8 times what equals close to 289

Answers

The step-by-step solution shows that the number close to 289 when multiplied by 8 is approximately 36.125. Multiplying 36 by 8 gives 288, which is close to 289.

To find the number which, when multiplied by 8, gives a value close to 289, we can set up the equation:

8x ≈ 289

To solve for x, we divide 289 by 8:

x = 289 ÷ 8

Performing the division:

x ≈ 36.125

So, 8 times approximately 36.125 equals close to 289. Therefore, the nearest whole number would be 36, since 8 * 36 = 288, which is close to 289.

The step-by-step solution shows that the number close to 289 when multiplied by 8 is approximately 36.125. Multiplying 36 by 8 gives 288, which is close to 289.

On a certain hot​ summer's day, 391 people used the public swimming pool. The daily prices are $1.25 for children and $2.25 for adults. The receipts for admission totaled $752.75. How many children and how many adults swam at the public pool that​ day?

Answers

Number of adults = 264

Number of children= 127

Step-by-step explanation:

Let the number of adults be......x

Let the number of children be.....y

The total number of people that used the public swimming pool is given as 391. This means

x+y=391

The total cost per the receipt is : $752.75

This means, 2.25 x+ 1.25 y = 752.75

The two equations are;

x+y=391  ...........(i)

2.25 x+ 1.25 y = 752.75...........(ii)

Making the x variable equal to eliminate x

2.25x + 2.25 y = 879.75

2.25x + 1.25 y = 752.75

Apply subtraction as

1.00 y = 127.00

y=127

Use the value of y in equation (i)

x+y=391

x+127=391

x=391-127=264

Number of adults = 264

Number of children= 127

Learn More

Simultaneous equations: https://brainly.com/question/12318095

Keywords ; public, swiming pool, prices, daily, adults, children, receipt, admission

#LearnwithBrainly


Solve the system of equations using elimination.

4x - 7y = 5
9x – 7y = –15

Answers

Answer: (-4,-3)

Step-by-step explanation:

In USA test prep

x=-79,-68,-57 and y=-68,-51,-34 so what is the x-intercept

Answers

Final answer:

The given values for x and y are not related to a specific equation or line, so we cannot determine the x-intercept.

Explanation:

The x-intercept represents the point at which a line crosses the x-axis. To find the x-intercept, we need to determine the value of x when y is equal to zero. In this case, the given values for x and y are not related to a specific equation or line, so we cannot determine the x-intercept.

Learn more about Finding x-intercept here:

https://brainly.com/question/32051056

#SPJ12

What is the solution of 5y=-1x and 10y=-2x

Answers

Answer:

5y = -1x

Step-by-step explanation:

Those 2 expressions are equivalent, so they don't tell us anything. This means that the answer in simplest is the starting expression - 5y = -1x

How many sides does a polygon have if the sum on the interior angle measures 3600

Answers

180(n-3)=3600
(n-3)=20
n=23

Answer:

22

Step-by-step explanation:

PLEASE GIVE A CORRECT ANSWER NOT JUST ANYTHING!!!!!!​

Answers

it would be 76 because 3(16)= 48 + 28

Answer:

£28+£16(each half hour)

£28+£48= £76

What is 3 divided by 260

Answers

Answer:

86.666666 or 0.01153846153

Answer:

0.0115

Step-by-step explanation:

In art class, Kerion is coloring a patter where half of the squares on her paper are being colored blue. Of the blue squares,1/3 of them will also have stripes. What fraction of squares will be blue blue with stripes?

Answers

1/6 of the squares will be blue with stripes.

if you add Natalie's age and Fred's age, the result is 45. if you add Fred's age to 3 times Natalie's age, the result is 73. Find how old Fred and Natalie are.​

Answers

Answer:

Fred is 31 years old and Natalie is 14 years old.

Step-by-step explanation:

Given:

If you add Natalie's age and Fred's age, the result is 45.

If you add Fred's age to 3 times Natalie's age, the result is 73.

Now, to find the age of Fred and Natalie.

Let the age of Fred be [tex]x.[/tex]

And the age of Natalie be [tex]y.[/tex]

As, given If you add Natalie's age and Fred's age, the result is 45.

[tex]x+y=45[/tex]    ......(1)

Now, if you add Fred's age to 3 times Natalie's age, the result is 73.

[tex]x+3y=73[/tex]   ......(2)

So, to solve the equations by using elimination method.

Now, subtracting both the equations (1) and (2):

[tex]x+y-(x+3y)=45-73[/tex]

[tex]x+y-x-3y=-28[/tex]

[tex]-2y=-28[/tex]

Dividing both sides by -2 we get:

[tex]y=14.[/tex]

Natalie's age = 14 years.

Now, to get the age of Fred by substituting the value of [tex]y[/tex] in equation (1):

[tex]x+y=45\\\\x+14=45[/tex]

Subtracting both sides by 14 we get:

[tex]x=31.[/tex]

Fred age = 31 years.

Therefore, Fred is 31 years old and Natalie is 14 years old.

Combine likes terms to create an equivalent expression 1/7 - 3(3/7h -2/7)

Answers

[tex]\frac{1}{7} -3(\frac{3}{7}h -\frac{2}{7}) = \frac{7-9h}{7}[/tex]

Solution:

Given expression is:

[tex]\frac{1}{7} -3(\frac{3}{7}h -\frac{2}{7})[/tex]

We have to combine the like terms

From given expression,

[tex]\frac{1}{7} -3(\frac{3}{7}h -\frac{2}{7})[/tex]

By distributive property,

The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

a(b + c) = ab + bc

Therefore,

Solve for brackets using distributive property

[tex]\frac{1}{7} - (3 \times \frac{3}{7}h) + (3 \times \frac{2}{7})\\\\\frac{1}{7} - \frac{9h}{7} + \frac{6}{7}[/tex]

Add 1/7 and 6/7

[tex]\frac{1}{7} + \frac{6}{7} -\frac{9h}{7}\\\\\frac{1+6}{7} -\frac{9h}{7}\\\\Simplify\\\\\frac{7}{7}-\frac{9h}{7}\\\\1-\frac{9h}{7}\\\\Simplify\\\\\frac{7-9h}{7}[/tex]

Thus the equivalent expression is found

elimination using addition and subtraction
-7x= y - 4
5x - y = 8

Answers

Answer:

look at the picture shown

Which function represents a reflection of f(x) = 3/8 (4)^x across the y-axis

Answers

Answer:

the function that would represent a reflection of the function y = f(x) = [tex]\frac{3}{8} \times 4^x[/tex] would be a function where x is negative, that is to say the required function which is a reflection across the y axis is given by

[tex]y = f(x) = \frac{3}{8} \times 4^{-x}[/tex]

Step-by-step explanation:

the function that would represent a reflection of the function y = f(x) = [tex]\frac{3}{8} \times 4^x[/tex] would be a function where x is negative, that is to say the required function which is a reflection across the y axis is given by

[tex]y = f(x) = \frac{3}{8} \times 4^{-x}[/tex]

Answer:

g(x) = 3/8(4)^–x

PLEASE HELP!!! Which of the following are considered measures of center?

I. mean
II. median
III. interquartile range
A.
I only
B.
III only
C.
I and II only
D.
I, II, and III

Answers

Answer:

C. I and II only

Step-by-step explanation:

Measures of center are mean median and mode. IQR is a range and therefore would not bring you to one number near the "center" of the data.

What is the value of x to the nearest tenth?

Answers

Answer:

x=6*sqrt(5)

Step-by-step explanation:

We use Pythagoras' theorem:

x^2 =6^2+(24/2)^2

x^2 =6^2+12^2

x^2 =36+144

x^2=180

x=sqrt(180)

x=sqrt(9*4*5)

x=3*2*sqrt(5)

x=6*sqrt(5)

Write the expression in standard form.
(4f-3+2g)-(-4g+2)

Answers

Answer:

Apply the distributive property.

4

f

3

+

2

g

(

4

g

)

1

2

Multiply  

4

by  

1

.

4

f

3

+

2

g

+

4

g

1

2

Multiply  

1

by  

2

.

4

f

3

+

2

g

+

4

g

2

Simplify by adding terms.

Tap for fewer steps...

Subtract  

2

from  

3

.

4

f

+

2

g

+

4

g

5

Add  

2

g

and  

4

g

.

4

f

+

6

g

5

Step-by-step explanation:

Which of the following is the standard form of y= -2/3x + 6

A. 2/3x + y = 6
B. -6 = -2/3x - y
C. 2x + 3y = 18
D. -2x - 3y =18

Answers

Answer:

C) 2x+3y=18

Step-by-step explanation:

y=-2/3x+6

y-(-2/3x)=6

y+2/3x=6

2/3x+y=6

3(2/3x+y)=3(6)

6/3x+3y=18

2x+3y=18

9. Anya and Sue each have $90.
Anya spends 5 over 8 of her money.
Sue spends 60% of her money.
Who has spent the most money?​

Answers

i think Anya spent the most money

Answer:

Anya spend the most money

On a science quiz Ivan earned 18 points.There are six problems worth 2 points each and two problems worth 4 points each.

Answers

Step-by-step explanation:

He missed one 2-point question and got everything else correct.

5 × 2 = 10

4 × 2 = 8

10 + 8 = 18

Hope this helps!

If 5n = 0,then what does 6n equal

Answers

Answer:

0

Step-by-step explanation:

I would say this because n is most likely equal to 0 so 6 times 0 is 0

Final answer:

If 5n = 0, then 6n = 0.

Explanation:

If 5n = 0, then substituting 0 for 5n gives 6n = 6(0) = 0. Therefore, 6n is equal to 0.

PLZ ANSWER FOR GODS SAKE
What is the solution for -10 < x - 9?

x > -19
x < -19
x > -1
x < -1

Answers

X >-1

Move the variable (x) from the right side to the left side. -x-10<-9 calculate the sum: -x < -9 + 10. Change the signs to make it correct: x > -1

sally draws a triangle with one side 6 inches long and another side 8 inches long. which is NOT a possible length for the third side ? A) 4 in B)10 in C) 12 in D) 14 in

Answers

Final answer:

When constructing a triangle with given side lengths, the possible range for the third side can be determined by adding and subtracting the lengths of the existing sides. Side lengths of 4, 10, and 14 inches are not possible choices for the third side length.

Explanation:

The third side of a triangle must be less than the sum but greater than the difference of the other two sides. Given sides of 6 inches and 8 inches:

6 + 8 = 14 inches8 - 6 = 2 inches

Therefore, the lengths of the sides 4, 10, and 14 inches are not possible.

What’s the absolute value of 13

Answers

Answer:

The absolute value of 13 is (-13)

Step-by-step explanation:

It just is lol

Answer: 13

Explanation: The absolute value of an integer it its distance from zero on a number line. Since 13 is 13 units from zero, the absolute value of 13 is 13.

To represent the absolute value of a number, we use a vertical bar on either side of the number so we say that |13| = 13.

I have drawn a number line and also showed you in the image attached.

Lucy and Judy each had a pie of equal size Lucy divided her pie into 6 equal slices and ate 2 of them. Judy divided her pie into 4 equal slices and ate 3 of them who ate more

Answers

Answer:

Judy

Step-by-step explanation:

As a salesperson you are paid $70 per week plus $6 per sale. This week you want your pay to be at least $150. Write an inequality to represent the number of sales you need to make to achieve your goal. Then solve the inequality algebraically, showing all work on your paper.

Answers

The inequality is:

[tex]70+6x\geq 150[/tex]

You must do more than 14 sales to get at least $ 150

Solution:

Given that,

As a salesperson you are paid $70 per week plus $6 per sale

Let "x" be the number of sales

This week you want your pay to be at least $150

We have to frame a inequality to represent the number of sales you need to make to achieve your goal

This week he must earn at least $ 150

Thus, he can spend $ 150 or more then 150 also

So we have to use "greater than or equal to" symbol

From given,

[tex]70 + 6(\text{number of sales})\geq 150[/tex]

[tex]70+6x\geq 150[/tex]

Thus the inequality is found

Solve the inequality

[tex]70+6x\geq 150\\\\Subtract\ 70\ from\ both\ sides\\\\6x\geq 150-70\\\\6x\geq 80\\\\Divide\ both\ sides\ by\ 6\\\\x\geq 13.3\\\\Thus\ approximately\ we\ get\\\\x\geq 14[/tex]

So he must do more than 14 sales to get at least $ 150

You estimate that a box contains 141 envelopes the actual number of envelopes is 150 find the percent error

Answers

0.0094% error



Divide 150/141. You get 0.94, then you need to find the percentage of that by clicking the percent button of your calculator

Kiyo and Steven are tiling the floors in an
office building. Kiyo tiled of the floor in
one office, and Steven tiled of the floor
in another office.
Write to explain how to use a benchmark
fraction to determine who tiled a greater
portion of a floor.

Answers

The complete question is given below.

Question:

Kiyo and Steven are tiling the floors in an office building. Kiyo tiled [tex]\frac{3}{6}[/tex] of the floor in  one office, and Steven tiled [tex]\frac{5}{12}[/tex] of the floor  in another office.  Write to explain how to use a benchmark  fraction to determine who tiled a greater  portion of a floor.

Answer:

Kiyo tiled a greater portion of a floor

Solution:

Kiyo tiled in one office = [tex]\frac{3}{6}[/tex]

Steven tiled in another office = [tex]\frac{5}{12}[/tex]

Bench mark fraction means comparing fractions with common fraction or number. Most probably we use [tex]\frac{1}{2}[/tex] as the common fraction.

Compare [tex]\frac{3}{6}[/tex] and [tex]\frac{5}{12}[/tex] using [tex]\frac{1}{2}[/tex]:

[tex]\frac{3}{6}[/tex] is equal to the fraction [tex]\frac{1}{2}[/tex].

[tex]$\frac{3}{6}=\frac{1}{2}[/tex]

[tex]$\frac{5}{12}<\frac{1}{2}[/tex]

[tex]$\Rightarrow\frac{5}{12}<\frac{3}{6}[/tex]

Steven tiled the floor < Kiyo tiled the floor.

Hence Kiyo tiled a greater portion of a floor.

Kiyo tiled a greater portion of the floor.

To determine who tiled a greater portion of the floor, we can use a benchmark fraction. A common benchmark fraction is 1/2. Let's compare each person's portion to this benchmark:

Kiyo tiled 3/6 of the floor. Simplifying this fraction, we get 1/2.

Steven tiled 5/12 of the floor. To compare this to 1/2, we check if 5/12 is more than or less than 6/12 (which is 1/2).

Since 5/12 is less than 6/12, Steven tiled less than half, and Kiyo tiled exactly half.

Therefore, Kiyo tiled a greater portion of the floor.

Complete question: Kiyo and Steven are tiling the floors in an office building. Kiyo tiled 3/6 of the floor in one office, and Steven tiled 5/12 of the floor in another office. Write to explain how to use a benchmark fraction to determine who tiled a greater portion of a floor. You can compare hese fractions because the floors in each office are the same size. ∩ C

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