How does writing equivalent equations help you solve a system of equations?

When you encounter a system of equation that does not have the same or opposite coefficients, you will need to create one or two equivalent equations, thus the name of the lesson is Solving Systems of Equations with Equivalent Systems. [ Once you create your equivalent system, you proceed with the same steps outlined in my post on Solving Systems of Equations Using the Elimination Method.

............You should notice that neither of the variable terms have the same coefficient with the same or opposite signs. You should create 2 equivalent equations. There are several choices for this problem, but for this example the x-terms will be eliminated. To eliminate the x-terms, equation 1 should be multiplied by 3 and equation 2 should be multiplied by 4. The will give the equivalent system. ............. ]

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