Find the solution to the system of equations.

y=−4x−3
y=−2x+1

(- 2, 5 )

Step-by-step explanation:

Given the 2 equations

y = - 4x - 3 → (1)

y = - 2x + 1 → (2)

Since both equations express y in terms of x, equate the right sides, that is

- 4x - 3 = - 2x + 1 ( add 2x to both sides )

- 2x - 3 = 1 ( add 3 to both sides )

- 2x = 4 ( divide both sides by - 2 )

x = - 2

Substitute x = - 2 into either of the 2 equations for corresponding value of y

Substituting x = - 2 in (2), then

y = - 2(- 2) + 1 = 4 + 1 = 5

Solution is (- 2, 5 )

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step-by-step explanation: