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Solving Systems of Equations: Step-by-Step Guide

This guide provides a comprehensive approach to solving systems of equations. It outlines methods for solving for one variable in at least one equation, substituting the expression into another equation, and finding the value of the first variable. The steps include eliminating a variable, substituting values back into original equations, and expressing the solutions as ordered pairs (x, y). Additionally, it emphasizes the importance of aligning like terms and checking the final answers for accuracy. Perfect for students looking to strengthen their algebra skills!

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Solving Systems of Equations: Step-by-Step Guide

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  1. Systems of EquationsSummary

  2. Solve for one variable in at least one equation, if necessary. Step 1 Substitute the resulting expression into the other equation. Solve that equation to get the value of the first variable. Substitute that value into one of the original equations and solve. Write the values from steps 3 and 4 as an ordered pair, (x, y), and check.

  3. Write the system so that like terms are aligned. Step 1 Eliminate one of the variables and solve for the other variable. Step 2 Substitute the value of the variable into one of the original equations and solve for the other variable. Step 3 Solving Systems of Equations by Elimination Write the answers from Steps 2 and 3 as an ordered pair, (x, y), and check. Step 4

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