Solving a Linear System by Substitution

Solving a Linear System by Substitution

 

Step 1:- Solve one of the equations for either variable. If one of the variable terms has coefficient 1 or 21, choose it, since the substitution method is usually easier this way.

 

Step 2:- Substitute for that variable in the other equation. The result should be an equation with just one variable.

 

Step 3:- Solve the equation from Step 2.

 

Step 4:- Find the other value. Substitute the result from Step 3 into the equation from Step 1 to find the value of the other variable.

 

Step 5:- Check the solution in both of the original equations. Then write the solution set.

 

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