Y = - 4x + 1 y = - 2x - 3

x = 2, y = - 7

Step-by-step explanation:

Solve the following system:

{y = 1 - 4 x | (equation 1)

{y = - 2 x - 3 | (equation 2)

Express the system in standard form:

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

{2 x + y = - 3 | (equation 2)

Subtract 1/2 * (equation 1) from equation 2:

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

{0 x+y/2 = - 7/2 | (equation 2)

Multiply equation 2 by 2:

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

{0 x+y = - 7 | (equation 2)

Subtract equation 2 from equation 1:

{4 x+0 y = 8 | (equation 1)

{0 x+y = - 7 | (equation 2)

Divide equation 1 by 4:

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

{0 x+y = - 7 | (equation 2)

Collect results:

Answer: {x = 2, y = - 7