How do I solve the equations x-y=-10 and x-6y=-25 by elimination?

Answer 1

How do I solve the equations x-y=-10 and x-6y=-25 by elimination?

Let's start by writing our equations as a system of equations:

x-y=10

x-6y=-25

The key here is looking for the variable that you can eliminate, meaning that when you add the equations together, one of the variables adds up to zero.

in this example, the x would be the easiest to eliminate. To do this, I would multiply the equation x-6y=-25 by -1. Then you would be left with the following:

x-y=10

-x+6y=25

Now you can just add each equation to get 5y=35. From there, solve for y. After you have your y value, put that number into the equation x-y=10 and solve that for x.

I hope that makes sense. Good luck!

Answer 2

Subrace one equation from the other and the x's are eliminated.