x-2y=24 x-y=10

Rather than checking all the above answer (which was done by substitution) I am going to d it a different way (by elimination) and see if the answers are the same.  If they are then i will check off both.

x-2y=24 (1)

x-y=10 (2)

(1)-(2)

-2y--y=24-10

-y=14

y=-14

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Sub back into (2)

x--14=10

x+14=10

x= -4

Good they are the same!  

To solve this, you would could use the substitution or elimination method. I prefer substitution so that's how I'm going to explain it.

First pick one of the equations to isolate one of your variables. I think x-y=10 is the easier of the two.

We are goin to isolate x. To do this, add y to the other side. x=y+10

You now have a way of finding y. You will plug x=y+10 into the equation you have not used in the place of x.

So instead of x-2y=24, you will have y+10-2y=24. You can solve for y.

Combine like terms -y+10=24

Subtract 10. -y=14

You don't want your variable to be negative, so multiply both sides by -1.

y=-14, you now have a way to solve for x.

Plug y=-14 into the equation x=y+10 in the place of y.

So you will have x=-14+10

Combine to get x=-4 

Check!

Plug your y and x values into one of your equations. 

-4 - (-14)=10

-4 + 14 = 10

This is true.

x= -4 and y= -14