How to use the Substitution to solve a nonlinear System of Equations, explain by fill the blanks.

Step 1: Choose the variable to _____________ . (This will be the variable you substitute.)

Choose a variable in a linear equation.

OR

Choose a variable that is __________ in both equations.

Step 2: Use inverse operations to isolate that _____________ .

Step 3: _______________ the isolated variable into the other equation in the system.

Step 4: Now that equation has one variable. Solve the _______________ for that variable.

Step 5: _______________ your solutions into any of the original equations in the system.

Step 6: Solve that ______________ for your second variable.

Step 7: Check your solutions.

_______________________ all solutions into every equation in the system and verify they are true.

OR

________________________ all the equations and verify that every solution is a point of intersection.