Answer:
{x = 1, y = -5
Explanation:
Solve the following system:
{-3 x - 3 y = 12 | (equation 1)
{3 y - 9 x = -24 | (equation 2)
Swap equation 1 with equation 2:
{-(9 x) + 3 y = -24 | (equation 1)
{-(3 x) - 3 y = 12 | (equation 2)
Subtract 1/3 × (equation 1) from equation 2:
{-(9 x) + 3 y = -24 | (equation 1)
0 x - 4 y = 20 | (equation 2)
Divide equation 1 by 3:
{-(3 x) + y = -8 | (equation 1)
{0 x - 4 y = 20 | (equation 2)
Divide equation 2 by 4:
{-(3 x) + y = -8 | (equation 1)
{0 x - y = 5 | (equation 2)
Multiply equation 2 by -1:
{-(3 x) + y = -8 | (equation 1)
{0 x+y = -5 | (equation 2)
Subtract equation 2 from equation 1:
{-(3 x)+0 y = -3 | (equation 1)
{0 x+y = -5 | (equation 2)
Divide equation 1 by -3:
{x+0 y = 1 | (equation 1)
{0 x+y = -5 | (equation 2)
Collect results:
Answer: {x = 1 , y = -5