# Linear Equations Question

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

We start with our given system of equations.

[math]4x-3y=8[/math]

[math]2x+6y=-11[/math]

We will multiply the first equation by 2. Now we can add this with the second equation.

[math] ul{:(,4x-6y=,8),(+,2x+6y=,-11):}[/math]

[math]{:( \ \ \ ,6x \ \ \ \ \ \ \ \ \ =, -3):}[/math]

This results in the following new system of equations.

[math]4x-3y=8[/math]

[math]6x=-3[/math]

- This is correct.
- The first equation has to be multiplied by [math]1/2[/math].
- The equations should be subtracted.
- Only the second term of the first equation was multiplied by 2.