Question

Solve the system of linear equations by the elimination method.2x + 10y = 23x - 5y = -17

Answer 1

We will have the following:

2x + 10y = 2

2(3x - 5y = -17)

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2x + 10y = 2

6x - 10y = -34

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8x + 0y = -32 => x = -4

Now, we replace in one of the expressions and solve for y:

2(-4) + 10y = 2 => -8 + 10y = 2

=> 10y = 10

=> y = 1

So, the solution of the system is (-4, 1).