Answer:
x = -2 , y = -4
Explanation:
Solve the following system:
{2 y - 2 x = -4 | (equation 1)
3 x + 3 y = -18 | (equation 2)
Swap equation 1 with equation 2:
{3 x + 3 y = -18 | (equation 1)
-(2 x) + 2 y = -4 | (equation 2)
Add 2/3 × (equation 1) to equation 2:
{3 x + 3 y = -18 | (equation 1)
0 x+4 y = -16 | (equation 2)
Divide equation 1 by 3:
{x + y = -6 | (equation 1)
0 x+4 y = -16 | (equation 2)
Divide equation 2 by 4:
{x + y = -6 | (equation 1)
0 x+y = -4 | (equation 2)
Subtract equation 2 from equation 1:
{x+0 y = -2 | (equation 1)
0 x+y = -4 | (equation 2)
Collect results:
Answer: {x = -2 , y = -4