Substitution is another method you have used to solve linear systems. This method also works with systems of linear and quadratic equations.
What are the solutions of the system?
Which variable should you substitute for?
Substitute for y since both equations are already solved for y.
Step 1 Write a single equation containing only one variable.
Step 2 Factor and solve for x.
Step 3 Find corresponding y-values. Use either original equation.
The solutions of the system are (2, 2) and (3, 1).
What are the solutions of the system?
What are the solutions of the system?
Use a graphing calculator.
How can you check your solutions?
Substitute them into the original equations and simplify.
Step 2
Use the CALC feature. Select INTERSECT. Move the cursor close to a point of intersection. Press
Step 3
Repeat Step 2 to find the second intersection point.
The solutions are (1, 4) and (4, 1).