Answered

Fine the x, and y

x = 8 − 2y

y − x = 4

Hint: Because one of the equations above is already solved for x, one strategy to solve this system is to substitute the first equation in for x in the second equation

Fraction in the first one -1/2, and find x,y.

y= -1/2x+7

y=x-8

Verified Answer :

The hint they gave you is a good one. x is equal to "8 - 2y", which is already half-solved for us. Take your second equation, and replace the "x" variable with what it's equal to:

y - x = 4
y - (8 - 2y) = 4
y - 8 + 2y = 4
y + 2y = 8 + 4
3y = 12
y = 4

Now that we know the exact number for y, we can plug this back into our first equation:

x = 8 - 2(4)
x = 8 - 8
x = 0

You always want to check your answers to make sure they're right. If y = 4 and x = 0, then....

y - x = 4
(4) - (0) = 4
4 - 0 = 4

This checks out!

Use this method to try your second one :)

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