Systems of Equations Question
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Grade 10 Systems of 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.