SOLUTION: Find the solution to each system by the substitution method. Check your answers. 10x+3y=8 2x+y+2

Question 773373: Find the solution to each system by the substitution method. Check your answers.
10x+3y=8
2x+y+2

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
I believe you meant

When solving a system by substitution, you start by solving for one of the variables in one of the equations.
It is easier if you look for a variable with a coefficient of 1 or -1, meaning that you look for a variable that does not have a number in front, at most it has a + or - sign.
For example,
in , it is easiest to solve for ,
while in , it is easiest to solve for .
Solving for the variable gives you an expression for that variable as a function of the other variable(s).
Then you substitute that expression into the other equation(s).

Solving for in is the easiest way to start:
--> (subtracting from both sides of the equal sign.
Next we substitute for in :
--> (applying the distributive property)
--> (doing the indicated operations)
-->--> (subtracting from both sides)
-->--> (taking out as a common factor, sometimes called "collecting like terms")
-->--> (dividing both sides by 4)
Now we substitute for in the solved-for-y equation above:
-->-->

Checking the answer :
verifies
verifies
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