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How do you solve a system of equations?

Updated: 8/17/2019
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13y ago

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For your situation, you probably have 2 equations with 2 unknowns (x and y, for example). If this is the case, solve both equations for y (so you get y=....). Then, since these are both equal to the same thing (y) they are both equal to each other. This means set the 2 equations equal to each other. Now you will only have 1 unknown (x, most likely) and 1 equation (with stuff on both sides). Solve for x, you should get a number. Now, go back to the beginning where you solved for y and plug in your x-value into one of the equations to find a number for y.

When you get done, it is always a good idea to substitute the solutions into the original equations to verify that your calculations were correct.

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