Solve the following system:
{-x = 62 - 18 y | (equation 1){2 x = 38 - 18 y | (equation 2)
Express the system in standard form:
{-x + 18 y = 62 | (equation 1){2 x + 18 y = 38 | (equation 2)
Swap equation 1 with equation 2:
{2 x + 18 y = 38 | (equation 1){-x + 18 y = 62 | (equation 2)
Add 1/2 × (equation 1) to equation 2:
{2 x + 18 y = 38 | (equation 1){0 x+27 y = 81 | (equation 2)
Divide equation 1 by 2:
{x + 9 y = 19 | (equation 1){0 x+27 y = 81 | (equation 2)
Divide equation 2 by 27:
{x + 9 y = 19 | (equation 1){0 x+y = 3 | (equation 2)
Subtract 9 × (equation 2) from equation 1:
{x+0 y = -8 | (equation 1){0 x+y = 3 | (equation 2)
Collect results:
Answer: {x = -8 , y = 3