Question

Solve each linear equation x+4y=18 x+8y=38

Answer 1

Answer: {x = -2 , y = 5

Explanation:

{x + 4 y = 18 | (equation 1)

{x + 8 y = 38 | (equation 2)

Subtract equation 1 from equation 2:

{x + 4 y = 18 | (equation 1)

{0 x+4 y = 20 | (equation 2)

Divide equation 2 by 4:

{x + 4 y = 18 | (equation 1)

{0 x+y = 5 | (equation 2)

Subtract 4 × (equation 2) from equation 1:

{x+0 y = -2 | (equation 1)

{0 x+y = 5 | (equation 2)

Collect results:

Answer: {x = -2 , y = 5