Solve the following system:
{x+y = 0 | (equation 1)
8 x-7 y = 75 | (equation 2)
Swap equation 1 with equation 2:
{8 x-7 y = 75 | (equation 1)
x+y = 0 | (equation 2)
Subtract 1/8 × (equation 1) from equation 2:
{8 x-7 y = 75 | (equation 1)
0 x+(15 y)/8 = (-75)/8 | (equation 2)
Multiply equation 2 by 8/15:
{8 x-7 y = 75 | (equation 1)
0 x+y = -5 | (equation 2)
Add 7 × (equation 2) to equation 1:
{8 x+0 y = 40 | (equation 1)
0 x+y = -5 | (equation 2)
Divide equation 1 by 8:
{x+0 y = 5 | (equation 1)
0 x+y = -5 | (equation 2)
Collect results:
Answer: |x = 5 y = -5
