Answer:
x = -7, y = -1
Step-by-step explanation:
Solve the following system:
{3 y - 2 x = 11 | (equation 1)
2 y + 3 x = -23 | (equation 2)
Swap equation 1 with equation 2:
{3 x + 2 y = -23 | (equation 1)
-(2 x) + 3 y = 11 | (equation 2)
Add 2/3 × (equation 1) to equation 2:
{3 x + 2 y = -23 | (equation 1)
0 x+(13 y)/3 = -13/3 | (equation 2)
Multiply equation 2 by 3/13:
{3 x + 2 y = -23 | (equation 1)
0 x+y = -1 | (equation 2)
Subtract 2 × (equation 2) from equation 1:
{3 x+0 y = -21 | (equation 1)
0 x+y = -1 | (equation 2)
Divide equation 1 by 3:
{x+0 y = -7 | (equation 1)
0 x+y = -1 | (equation 2)
Collect results:
Answer: x = -7, y = -1
