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Basically, the same way that you solve equations that have variables only on one side. The general idea is that you can add, subtract, multiply and divide both sides of the quantities by the same amount (as long as you don't multiply or divide by zero).

For example:

4x = 2x + 3

If you subtract 2x from both sides, you are left with:

2x = 3

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13y ago
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15y ago

* You will need at least as manyequations as there are variables, e.g. for 2 variables using 2x + 3y = 11 and 5x - 10y = 10. * To solve a 2-variable equation: first rearrange one so one variable is in terms of the other; "5x - 10y = 10" becomes "x = 2 + 2y". * Next, substitute that equation into the other; 2x + 3y = 11 becomes 2(2 + 2y) + 3y = 11. * Now expand and simplify; 2(2 + 2y) + 3y = 11 2 * 2 + 2 * 2y + 3y = 11 4 + 4y +3y = 11 4 + 7y = 11 * Then rearrange it so the variable is on one side and numbers are on the other and simplify again; 7y = 11 - 4 7y = 7 y = 1 * Now go back to one of the original equations and substitute this value to find the other; 2x + 3y = 11 2x + 3 * 1 = 11 2x + 3 =11 2x = 11 - 3 2x = 8 x = 4.

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13y ago

Manipulate the equation to get all the variables on one side of the equal sign, and the numbers on the other side; then solve. For example, 2x = 10, divide both sides by 2, then the solution is x = 5.

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