The system of linear equations -2x+y=8 and -3x-y=7 is graphed below. what is the solution to the system of equations? (–3, 2) (–2, 3) (2, –3) (3, 2)

answer is
-3,2

x = -3 , y = 2

Step-by-step explanation:

Solve the following system:

{y - 2 x = 8 | (equation 1)

{-3 x - y = 7 | (equation 2)

Swap equation 1 with equation 2:

{-(3 x) - y = 7 | (equation 1)

{-(2 x) + y = 8 | (equation 2)

Subtract 2/3 × (equation 1) from equation 2:

{-(3 x) - y = 7 | (equation 1)

{0 x+(5 y)/3 = 10/3 | (equation 2)

Multiply equation 2 by 3/5:

{-(3 x) - y = 7 | (equation 1)

{0 x+y = 2 | (equation 2)

Add equation 2 to equation 1:

{-(3 x)+0 y = 9 | (equation 1)

{0 x+y = 2 | (equation 2)

Divide equation 1 by -3:

{x+0 y = -3 | (equation 1)

{0 x+y = 2 | (equation 2)

Collect results:

 {x = -3 , y = 2