SOLUTION: How do you solve this by using the subsitution? y = (2/3)x – 1 y = -x + 4 Show how you got your answer, so I can do the rest of these problem myself.

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Question 811699: How do you solve this by using the subsitution?
y = (2/3)x – 1
y = -x + 4
Show how you got your answer, so I can do the rest of these problem myself.

Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
To solve a system by substitution, you start by finding an equation that is a formula to calculate one variable from the other. It would start with

or
If there is no equation like that, you "make" one by solving for or in one of the equations.

Your system has an equation like that. (In fact, it has two of those).
If , you can substitute the expression for in the other equation to get

Now, you just solve for , to start.
Adding to both sides, you get


Adding to both sides, you get





Now, multiplying both sides times ,
or dividing both sides by (same thing), you find that



Now you go back to the equation that had (any of the two) and use it to calculate from the you just found.
Substituting for in you find


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