Answer: 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.
