Answer :

texaschic101
x + y = 17
x = 17 - y

2x + y = 10
2(17 - y) + y = 10
34 - 2y + y = 10
-2y + y = 10 - 34
-y = - 24
y = 24

x + y = 17
x + 24 = 17
x = 17 - 24
x = - 7




EricAhumada
to start the problem, we need to remove one variable. it's easier to remove "y" so I'll show you how to do that

x+y=17
2x+y=10

the first step is to make the "y" value opposite of each other (one negative and one positive). so you multiply everything by -1 on the top:

-x-y= -17
2x+y=10

Now that you have one negative and one positive y, they cancel each other out

-x= -17
2x=10

Then you add up the numbers on each side(add up the x's with the x's and the numbers with the numbers:

x=-7


now that you know what x is, you can put it back into the original equations to find y:

(-7)+y=17
2(-7)+y=10

Add up the values on each side of the equal sign:

-21+2y=27

add 21 to both sides:

2y= 48

divide 48 by 2:

y=24




Now, to double check the answer, I'll put it in an equation one last time:

Original equation -> x+y=17

Equation with x and y numbers -> -7+24=17


Everything is correct with the equation so I can confidently say that:

x= -7

and

y= 24

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