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

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:

{x = 2 , y = -3

b.-4 units

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