Solving Systems of Equations

Front

What is the first step in solving a system of equations using substitution?

Back

Isolate one variable in one equation.

Front

After isolating a variable in substitution, what do you do next?

Back

Substitute the expression into the other equation and solve for the remaining variable.

Front

What should you do after finding the value of one variable in substitution?

Back

Substitute the value(s) into one of the original equations to determine the corresponding value(s) of the other variable.

Front

How can you verify your answer after solving a system of equations?

Back

By substituting into both original equations.

Front

What is the first step in solving a system of equations using elimination?

Back

Rearrange the equations so that the like terms align, if necessary.

Front

What might you need to do to the equations in elimination to create equivalent equations?

Back

Multiply one or both equations by a constant to create equivalent equations with a pair of variable terms with opposite coefficients.

Front

What is the next step after aligning like terms in elimination?

Back

Add or subtract to eliminate one variable and solve for the remaining variable.

Front

What do you do after solving for one variable in elimination?

Back

Substitute the value(s) into one of the original equations to determine the corresponding value(s) of the other variable.

Front

How can you verify your answers after using the elimination method?

Back

By substituting into both original equations.