Solve the following system:
{-2 y + 6 x = 52 | (equation 1)
3 y + 5 x = 34 | (equation 2)
Subtract 5/6 x(equation 1) from equation 2:
{6 x - 2 y = 52 | (equation 1)
0 x + (14 y)/3 = -28/3 | (equation 2)
Divide equation 1 by 2:
{3 x - y = 26 | (equation 1)
0 x + (14 y)/3 = -28/3 | (equation 2)
Multiply equation 2 by 3/14:
{3 x - y = 26 | (equation 1)
0 x + y = -2 | (equation 2)
Add equation 2 to equation 1:
{3 x + 0 y = 24 | (equation 1)
0 x + y = -2 | (equation 2)
Divide equation 1 by 3:
{x + 0 y = 8 | (equation 1)
0 x + y = -2 | (equation 2)
Answer: x = 8 y = -2