Question

Find the solution of this system of equations. Separate the x- and y-values with a comma. x - 2y = -23 and x - y = 7

Answer 1

Solve the following system using elimination:
{x - 2 y = -23 | (equation 1)
{x - y = 7 | (equation 2)

Subtract equation 1 from equation 2:
{x - 2 y = -23 | (equation 1)
{0 x+y = 30 | (equation 2)

Add 2 × (equation 2) to equation 1:
{x+0 y = 37 | (equation 1)
{0 x+y = 30 | (equation 2)
Collect results:
Answer: {x = 37 , y = 30