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Algebra

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Solving System of Equations

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Solving Systems of Equations (Simultaneous Equations) If you have two equations with the same two unknowns in each, you can solve for both unknowns. There are three common methods for solving: addition/subtraction, substitution, and graphing. Addition/subtraction method To use the addition/subtraction method, Multiply one or both equations by some number to make the number in front of one of the letters (unknowns) the same in each equation. Add or subtract the two equations to eliminate one letter. Solve for the other unknown. Insert the value of the first unknown in one of the original equations to solve for the second unknown. Example 1:?Solve for?x?and?y.? First multiply the bottom equation by 3. Now the?y?is preceded by a 3 in each equation.

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