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