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Question 7

Solve the following system of equations by using the elimination method.
-4x – 2y = -12
4x + 8y = -24

(5, 3)

(-6, -6)

(3, 1)

(6, -6)

User Bradley
by
7.9k points

1 Answer

4 votes

To solve this problem you must apply the proccedure shown below:

1. You have the following system of equation:


\left \{ {{-4x-2y=-12} \atop {4x+8y=-24}} \right.

2. As you can see, you can cancel out the variable
x, because it has equal coefficient with different signs at both equations. Then, if you add both equations, you obtain:


6y=-36\\y=-6

3. Let's substitute the value obtained into the second equation to calculate the other variable:


4x+8(-6)=-24\\4x-48=-24\\x=6

The answer is: (6,-6).

User Cbuteau
by
9.6k points

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