6x+5y=16x+4y=-10

Solve the following system using elimination:
{5 y - 6 x = 1 | (equation 1)
{6 x + 4 y = -10 | (equation 2)

Add equation 1 to equation 2:
{-(6 x) + 5 y = 1 | (equation 1)
{0 x+9 y = -9 | (equation 2)

Divide equation 2 by 9:
{-(6 x) + 5 y = 1 | (equation 1)
{0 x+y = -1 | (equation 2)

Subtract 5 × (equation 2) from equation 1:
{-(6 x)+0 y = 6 | (equation 1)
{0 x+y = -1 | (equation 2)

Divide equation 1 by -6:
{x+0 y = -1 | (equation 1)
{0 x+y = -1 | (equation 2)
Collect results:
  {x = -1
               {y = -1