Standard
A.REI.6 Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.
In order to solve using elimination, we have to choose a variable so that we can cancel out the a set of variables and then solve for the other.
We can multiply the top equation by -2 and the second equation by 3.
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When we change the equations by multiplying them, we get two new equations when the x variables cancel out.
You can now add the functions, and then the you are left with y as the only variable. You solve for y and get y = -5
Now that you know what y is, you can choose one of your original equations, plug in the value for y, and the solve for the remaining variable.
Since x is now the only variable that we have, you can solve for the x, and you get x = 3
If you type the two equations into desmos, you find that the two equations cross at what looks like (3, - 5)