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Step-by-step instructions on how to solve systems of linear equations using the substitution method. Two scenarios: when one variable is given and when one variable is isolated. For each scenario, the document presents examples and walks through the process of substituting values, solving for the other variable, and checking the solution. Students can use this document as a study aid for understanding the substitution method and solving systems of equations.
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Using the substitution method when one variable is given: Using the substitution method when one variable is given:Using the substitution method when one variable is given:
Using the substitution method when one variable is given:
Step #1: Substitute the value of the given variable into the other equation
Step #2: Solve for other variable by performing the necessary inverse operations
Step #3: Check the solution to make sure it makes both equations true
Step #4: Write your answer as an ordered pair
Solve each system using substitution.
Using the substitution method when one variable is isolated:Using the substitution method when one variable is isolated:Using the substitution method when one variable is isolated:Using the substitution method when one variable is isolated:
Step #1: If one variable is isolated, substitute the resulting expression into the other equation
Step #2: Solve for variable by performing the necessary inverse operations
Step #3: Substitute your answer (from step 2) into either equation to solve for the other variable
Step #4: Check solution to make sure it makes both equations true
Step #5: Write your answer as an ordered pair
Solve each system using substitution.
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