Find the solution to the system y = - 2x + 1 and y = x-5

X is 2 and Y is - 3 that's all

x = 2, y = - 3

Step-by-step explanation:

Solve the following system:

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

y = x - 5 | (equation 2)

Express the system in standard form:

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

-x + y = - 5 | (equation 2)

Add 1/2 * (equation 1) to equation 2:

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

0 x + (3 y) / 2 = - 9/2 | (equation 2)

Multiply equation 2 by 2/3:

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

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

Subtract equation 2 from equation 1:

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

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

Divide equation 1 by 2:

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

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

Collect results:

Answer: {x = 2, y = - 3