# Linear Equations Question

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

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]

- This is correct.
- You must add the equations, not subtract.
- No variable has been eliminated, therefore the new system of equations is invalid.
- You have to multiply by a scalar other than [math]pm1.[/math]