Answer:
x = -5 , y = 1
Explanation:
Solve the following system:
{3 x + y = -14 | (equation 1)
-2 x - y = 9 | (equation 2)
Add 2/3 × (equation 1) to equation 2:
{3 x + y = -14 | (equation 1)
0 x - y/3 = (-1)/3 | (equation 2)
Multiply equation 2 by -3:
{3 x + y = -14 | (equation 1)
0 x+y = 1 | (equation 2)
Subtract equation 2 from equation 1:
{3 x+0 y = -15 | (equation 1)
0 x+y = 1 | (equation 2)
Divide equation 1 by 3:
{x+0 y = -5 | (equation 1)
0 x+y = 1 | (equation 2)
Collect results:
Answer: {x = -5 , y = 1