Solve the system of equations using elimination. –9x – 2y = –115 –6x + 2y = –110

The answers are:

Solving systems of equations using elimination means multiplying/dividing the factors of the given equations in order to reduce variables and make the isolating process simpler, so, solving we have:

We are given the equations:

We have that the terms that contains the variable "y" are equal with opposite signs, so, we can eliminate both directly, and then, isolate the variable "x", so, solving we have:

Now, that we know "x" we need to substitute it into any of the given equations in order to find "y", so, substituting we have:

Hence, we have that:

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ANSWER

(15,-10)

EXPLANATION

The given equations are:

–9x – 2y = –115 ...(1)

–6x + 2y = –110...(2)

Add equation (1) from equation (2) to eliminate y.

-9x+-6x=-110+-115

This implies that,

-15x=-225

Divide both sides by -15

Put the value of x into equation (2) to find y.

The solution is (15,-10)