Question

What is the solution to the system of equations? Use the linear combination method (with or without multiplication).

6x - 2y = 2
-3x + 4y = 5

A) (1,2)

B) (1,3)

C) (2,3)

D) (1,-2)

Answer 1

The solution would be A) (1,2)

Explanation:

To use this method, start by multiplying the second equation by 2. Then add the two equations together.

6x - 2y = 2

-6x + 8y = 10

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6y = 12

y = 2

Now that we have the value of y, use it to solve either equation for x.

-3x + 4y = 5

-3x + 4(2) = 5

-3x + 8 = 5

-3x = -3

x = 1