Systems of Equations

Pre-Algebra Tutorial

Systems of Equations

Intro

2x+4y=10
x+y=3

Sample Problem

What is the value of x?

Solution

There are a couple of ways to approach this problem, but I will show you two ways.
One way:
2x+4y=10
x+y=3
-x -x
y=3-x
2x+4(3-x)=10
2x+12-4x=10
-2x+12=10
-12 -12
____________
-2x=-2
x=1

Second way:
2x+4y=10
-4(x+y=3)—-> -4x-4y=-12
2x+4y=10
+
-4x-4y=-12
_______________
-2x=-2
x=1

If there needs to be a substitution to check your answer, then you can do so. If there is no case for a substitution, then you can decide if you need to check your answer to match the computation.



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