Solve the system of equations

y = 4x+1

y=2+2x-2

x = - 1/2, y = - 1

Step-by-step explanation:

Solve the following system:

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

{y = 2 x | (equation 2)

Express the system in standard form:

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

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

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

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

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

Multiply equation 2 by 2:

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

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

Subtract equation 2 from equation 1:

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

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

Divide equation 1 by - 4:

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

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

Collect results:

Answer: {x = - 1/2, y = - 1