Solving system by elimination

x=6andy= -6

Step-by-step explanation:

for this one is more easy in how are your equations.

-4x-2y= -12

4x+8y= - 24

as you can see the x's in both equations are the same number and opposite sign (+,-)

solving by elimination do you need to start with equations with one of the variables in both equations with the same number and different sign.

after you have your equation you combine both and you can eliminate x

-4x-2y= - 12 after you combine you are going

4x+8y= - 24 en with 6y=-36

6y= -36 the next step is divide 6 in both

6 6 sides

y= - 6⬅️and you ends whit this

after you solve for one of the letters you need to find the other ones. in this case we need to find x

so to find x you only needs to use one of the original equations and solve for x

-4x-2y= -12 original equation

-4x-2(-6)= -12 switch the y -6

-4x+12= -12 multiply the -6×2

-12. -12 substract 12 in both sides

-4x= -24 divide -4 also in both sides

-4 -4

x=6final answer.

here is also how do you do you solve for x using the other equation; and you can see that we get the same answer, but you don't need to copy both of the equations when you are solving for the other letters jus I write also how do you do with this one in case that can be necessary or if this helps you. Also are the same steps as the other one.

4x+8y= - 24

4x+8(-6)= -24

4x-48= - 24

+48 +48

4x=24

4 4

x=6

I hope and this helps and I'm really sorry for make this longer.