2) Solve this system of linear equations by elimination. 2x+4y=-4

3x=-5y-3

*x=5,y=-2

*x=4,y=-3

*x=-5,y=2

*x=4,y=3

please answer step by step

x=4 and y=-3

Step-by-step explanation:

To use elimination to solve system of equations, you want to make sure the equations are first in standard form.

2x+4y=-4

3x+5y=-3

We want to make sure either the x or the y are equal so we can eliminate them. Let's eliminate x.

2x+4y=-4            [multiply equation by 3]

3x+5y=-3            [multiply equation by 2]

6x+12y=-12

6x+10y=-6

We can now subtract the equations.

2y=-6                  [divide both sides by 2]

y=-3

Now that we know y=-3, we can plug it into an equation to solve for x.

2x+4y=-4            [plug in y=-3]

2x+4(-3)=-4        [multiply]

2x-12=-4             [add both sides by 12]

2x=8                   [divide both sides by 2]

x=4

The final answer is x=4 and y=-3.

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step-by-step explanation:

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