Answer:
x = -7 , y = -5
Explanation:
Solve the following system:
{3 y - 3 x = 6 | (equation 1)
3 x + 5 y = -46 | (equation 2)
Add equation 1 to equation 2:
{-(3 x) + 3 y = 6 | (equation 1)
0 x+8 y = -40 | (equation 2)
Divide equation 1 by 3:
{-x + y = 2 | (equation 1)
0 x+8 y = -40 | (equation 2)
Divide equation 2 by 8:
{-x + y = 2 | (equation 1)
0 x+y = -5 | (equation 2)
Subtract equation 2 from equation 1:
{-x+0 y = 7 | (equation 1)
0 x+y = -5 | (equation 2)
Multiply equation 1 by -1:
{x+0 y = -7 | (equation 1)
0 x+y = -5 | (equation 2)
Collect results:
Answer: {x = -7 , y = -5