Question

4x-3y=8 5×-2y=-11 solve the linear system using elimination

Answer 1

Solve the following system using elimination:
{4 x - 3 y = 8 | (equation 1){-10 y = -11 | (equation 2)
Multiply equation 2 by -1:
{4 x - 3 y = 8 | (equation 1)
{0 x+10 y = 11 | (equation 2)

Divide equation 2 by 10:
{4 x - 3 y = 8 | (equation 1)
{0 x+y = 11/10 | (equation 2)


Add 3 × (equation 2) to equation 1:
{4 x+0 y = 113/10 | (equation 1)
{0 x+y = 11/10 | (equation 2)

Divide equation 1 by 4:
{x+0 y = 113/40 | (equation 1)
{0 x+y = 11/10 | (equation 2)

Collect results:
Answer:  {x = 113/40
                {y = 11/10