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:  

{x = 2 , y = -7

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