SOLUTION: Please help me solve this equation using substitution 3y=x+6 x=2y-2

Question 724359: Please help me solve this equation using substitution
3y=x+6
x=2y-2
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Substitution means getting one of the equations to a form like
x = expression that does not include x
or
y = expression that does not include y,
and substituting the expression for the variable in the other equation.

In the case of , the equation
already is in the form we want.
It says that is equal to .
So we substitute the expression for in to get
--> --> -->

Now we got back to and plug into it to find :
--> -->

NOTES:
If none of the equation was in such a friendly form, we could convert it into the form we want.
For example, if we had ,
we would solve for in because the x is not multiplied by anything other than 1, and that makes it easy.
--> --> <-->
If all the coefficients in front of x or y are number other than the usually omitted 1 and -1, solving for a variable gets ugly and we end up with fractions. In those cases, substitution may not be a good choice.
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