Solve the following system:
{4 x + 9 y = 5 | (equation 1)
7 y - 4 x = 11 | (equation 2)
Add equation 1 to equation 2:
{4 x + 9 y = 5 | (equation 1)
0 x+16 y = 16 | (equation 2)
Divide equation 2 by 16:
{4 x + 9 y = 5 | (equation 1)
0 x+y = 1 | (equation 2)
Subtract 9 × (equation 2) from equation 1:
{4 x+0 y = -4 | (equation 1)
0 x+y = 1 | (equation 2)
Divide equation 1 by 4:
{x+0 y = -1 | (equation 1)
0 x+y = 1 | (equation 2)
Collect results:
Answer: |x = -1 and y = 1