Question
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  1. Malik used the method of elimination to solve the system below:
What property justifies writing this equation?

Ask by Chadwick Newton. in the United States
Jan 17,2025

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Answer

Malik first rewrote the second equation as . He then substituted this into the first equation and solved for , finding , which is larger than 1. The property used to rewrite the equation is the property of equality.

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Bonus Knowledge

To rewrite the second equation in terms of , Malik can isolate by subtracting from both sides. This gives him the equivalent equation . This step uses the property of equality, which states that if two expressions are equal, you can perform the same operation on both sides without changing the relationship.
Now, once Malik has this new equation, he can substitute into the first equation to solve the system. When he solves it, he will find first. Given the two equations, if he plugs in , we can check its value against the original equations. This will show whether is larger or smaller than 1, and ultimately lead us to the answer!

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