Solve the following system:
{-6 x - y = -19 | (equation 1)
{6 x - 4 y = 14 | (equation 2)
Add equation 1 to equation 2:
{-(6 x) - y = -19 | (equation 1)
{0 x - 5 y = -5 | (equation 2)
Multiply equation 1 by -1:
{6 x + y = 19 | (equation 1)
{0 x - 5 y = -5 | (equation 2)
Divide equation 2 by -5:
{6 x + y = 19 | (equation 1)
{0 x+y = 1 | (equation 2)
Subtract equation 2 from equation 1:
{6 x+0 y = 18 | (equation 1)
{0 x+y = 1 | (equation 2)
Divide equation 1 by 6:
{x+0 y = 3 | (equation 1)
{0 x+y = 1 | (equation 2)
Collect results:
Answer: {x = 3
{y = 1