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Type: Multiple-Choice
Category: Linear Equations
Level: Grade 10
Standards: HSA-REI.C.5
Author: nsharp1
Created: a month ago

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Linear Equations Question

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Grade 10 Linear Equations CCSS: HSA-REI.C.5

For the given system of equations, the following work was done to create another system of equations with the same solution. Is this work correct? If not, choose the correct reason why.

Our given system is as follows.
[math]5x+4y=1[/math]
[math]-3x-2y=1[/math]

We will multiply the second equation by [math]-1[/math]. Now we can subtract this from the first equation.
[math] ul{:(,5x+4y=,1),(-,3x+2y=,-1):}[/math]
[math]{:( \ \ \ ,2x+2y =, 2):}[/math]

This results in the following new system of equations.
[math]2x+2y=2[/math]
[math]-3x-2y=1[/math]
  1. This is correct.
  2. You must add the equations, not subtract.
  3. No variable has been eliminated, therefore the new system of equations is invalid.
  4. You have to multiply by a scalar other than [math]pm1.[/math]
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