type the ordered pair that is the solution to these equations. 2x-3y=7 -3x+y=7

Question

type the ordered pair that is the solution to these equations. 2x-3y=7 -3x+y=7

Answer 1

the solution will be reached as follows.

equation 1 2x - 3y = 7

equation 2 -3x + y = 7, this equation needs to be multiplied by 3 => -9x + 3y = 21

adding the two equations we have:

-7x = 28; x = -4, replacing x in equation 1 we have: -8 - 3y = 7 => -3y = 15; then y = -5, if we do the same in the second equation we will get the same answer. The ordered pair will be (-4,-5)

Answer 2

Type the ordered pair that is the solution to these equations. 2x-3y=7 -3x+y=7

 

2x-3y = 7

-3x + y = 7

 

Let's solve the second equation for y

 

y = 7 + 3x

 

Now let's substitute 7+3x in place of y in the first equation and solve for x:

2x - 3y = 7

2x - 3(7+3x) = 7

2x -21 - 9x = 7

2x - 9x = 7 + 21

-7x = 28

 

x = -4

 

Solve for y:

y = 7 + 3x

y = 7 + 3(-4)

y = 7 - 12

 

y = -5

 

The ordered pair is (-4,-5)

 

Check:

2x-3y=7

2(-4)-3(-5) = 7

-8 + 15 = 7

7 = 7             CHECK!

 

-3x + y = 7

-3(-4)+(-5) = 7

12 - 5 = 7

7 = 7            CHECK!