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Solve the system of equations using substitution.

Solve the system of equations using substitution.-example-1

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Answer: Choice A. (-4, -13)

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Work Shown:

Plug the first equation into the second equation.

2x - y = 5

2x - (3x-1) = 5

2x - 3x+1 = 5

-x+1 = 5

-x = 5-1

-x = 4

x = -4

Use this to find the value of y.

y = 3x-1

y = 3*(-4)-1

y = -12-1

y = -13

The solution is (x,y) = (-4,-13)

This points to choice A as the final answer.

You can use graphing software like Desmos or GeoGebra to confirm that the two lines intersect at (-4,-13).

User Bukowski
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