Solve the following system:
{9 x - y = 10 | (equation 1)
-3 x - 5 y = 18 | (equation 2)
Add 1/3 × (equation 1) to equation 2:
{9 x - y = 10 | (equation 1)
0 x - (16 y)/3 = 64/3 | (equation 2)
Multiply equation 2 by 3/16:
{9 x - y = 10 | (equation 1)
0 x - y = 4 | (equation 2)
Multiply equation 2 by -1:
{9 x - y = 10 | (equation 1)
0 x+y = -4 | (equation 2)
Add equation 2 to equation 1:
{9 x+0 y = 6 | (equation 1)
0 x+y = -4 | (equation 2)
Divide equation 1 by 9:
{x+0 y = 2/3 | (equation 1)
0 x+y = -4 | (equation 2)
Collect results:
Answer: |x = 2/3 and y = -4
Y=-4
