Substitution
2x+3y=5
x=4-2y
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x=4-2y |
When you are doing sustitution, you need to first get one of the variable on a side by itself. In this case the "x" is already on a side by itself. |
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Next, you want to "substitute" the equation with the "x" on the side by itslf into the other equation. |
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Now, distribute the 2 to what is inside the parentheses. |
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Then, combine like terms. |
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You can't have a negative variable (y), so you must divide both sides by negative 1. |
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Now, you must plug the "y" back into the equation that you did't use to solve the first equation. ( that would be 2x+3y=5) |
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Multiply the -3 and the 3. |
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Now, combine like terms. |
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Divide to get the variable by itself. |
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Then, put the "x" and "y" into a coordinate pair. |
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The final answer. |
The Final Answer:
(7,3)