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

Answer:x = -3 , y = 2Step-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: Answer:  {x = -3 , y = 2