Question

Solve this system of equations using elimination
-3x - 4y = 7
-2x + 4y = 3

Answer 1

x = -2

Explanation:

So in this problem what you have to do is use the tool elimination so it would look something like this:

-3x - 4y = 7

+ -2x +4y = 3 So what you are doing here is adding these together.

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x = -2

Further explained.

Basically you are going left to right adding the like terms together. For example, -3x + -2x= -5x. And then you would continue doing this until you come to a final equations, which for this one would be -5x = 10. And then solve to get -2.

The next step would be to plug your x into one of the above equations.

Your y would be -1/4.

Answer 2

Add the two rows together

-5x = 10

Solve for x in the above equation

x = -2

Substitute x = -2 into any of the two equations. Let's pick the firs equation; -3x - 4y = 7

-3 × -2 - 4y = 7

Solve for y in the above equation

y = -1/4

Therefore,

x = -2

y = -1/4