## 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.

# About The Author

Math, Biology, And History Instructor |

Hello. I am Kisung Yoon, and I am a senior in high school. I am currently in the ARISTA Honor Society, and I have tutored my fellow students from my school in Algebra I, Algebra 2, Global History, US History, and Biology. Not only that, I also tutored my younger sisters on the standardized tests mai... |

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