Y = 2x - 2

y = x - 1

x = 1, y = 0

Step-by-step explanation:

Solve the following system:

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

y = x - 1 | (equation 2)

Express the system in standard form:

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

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

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

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

0 x+y/2 = 0 | (equation 2)

Multiply equation 2 by 2:

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

0 x+y = 0 | (equation 2)

Subtract equation 2 from equation 1:

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

0 x+y = 0 | (equation 2)

Divide equation 1 by - 2:

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

0 x+y = 0 | (equation 2)

Collect results:

Answer: {x = 1, y = 0