How to solve a system of equation using substitution

The video tutorial explains how to solve a system of equations using the substitution method. It begins by identifying a variable to solve for, preferably one with a coefficient of one, to simplify the process. The tutorial demonstrates solving for this variable and substituting it into the other equation. The process involves using inverse operations and combining like terms to find the values of both variables. The tutorial concludes with a recap of the steps involved in solving systems of equations using substitution.

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

• Graph the equations.

• Solve for a variable in one of the equations.

• Multiply both equations by a constant.

• Add the equations together.

When solving for a variable, what operation is used to isolate the variable?

• Division

• Inverse operation

• Addition

• Multiplication

After substituting the expression for a variable into the other equation, what is the next step?

• Solve for the remaining variable.

• Add a constant to both sides.

• Multiply both sides by zero.

• Divide by the coefficient of the variable.

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

• Add it to the other variable.

• Multiply it by a constant.

• Ignore it and solve for the other variable.

• Substitute it back into the original equation.

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

• Verify the solution by substituting back into the original equations.

• Add the solution to another equation.

• Graph the solution on a coordinate plane.

• Multiply the solution by a constant.