How Do You Solve a System of Equations Using Substitution if One Equation is a Quadratic?

Note:

Substitution is a great way to solve a system of equations! In this tutorial, you'll see how the substitution method is used to solve a system of equations involving both a linear and a quadratic equation!

Keywords:

problem
solution
substitution
system of equations
system
linear
quadratic

Background Tutorials

Introduction to Algebraic Expressions
- How Do You Evaluate an Algebraic Expression?
  
  Plugging variables into an expression is essential for solving many algebra problems. See how to plug in variable values by watching this tutorial.
Simplifying Expressions
- What are Like Terms?
  
  Combining like terms together is a key part of simplifying mathematical expressions, so check out this tutorial to see how you can easily pick out like terms from an expression
Identifying Linear Equations
- What is a Linear Equation?
  
  If you're learning about graphs, you're bound to see a bunch of linear equations, so it's a good idea to understand what makes an equation a linear equation. This tutorial explains linear equations and shows you the difference between equations that are linear and ones that are not. Check it out!
Solving Systems By Graphing
- What's a Solution to a System of Linear Equations?
  
  If you have a system of equations that contains two equations with the same two unknown variables, then the solution to that system is the ordered pair that makes both equations true at the same time. Follow along as this tutorial uses an example to explain the solution to a system of equations!
Solving Systems Using Substitution
- How Do You Solve a System of Equations Using the Substitution Method?
  
  There are many different ways to solve a system of linear equations. In this tutorial, you'll see how to solve a system of linear equations by substituting one equation into the other and solving for the variable. Then, see how to use that variable value to find the value of the other variable. Check it out!
Factors
- What's a Factor?
  
  Factors are a fundamental part of algebra, so it would be a great idea to know all about them. This tutorial can help! Take a look!
Graphing Definitions and Examples
- What is a Quadratic Equation?
  
  You can't go through algebra without seeing quadratic equations. The graphs of quadratic equations are parabolas; they tend to look like a smile or a frown. There's also a bunch of ways to solve these equations! Watch this tutorial and get introduced to quadratic equations!
Solving Quadratics by Factoring
- How Do You Solve a Quadratic Equation by Factoring?
  
  One of the many ways you can solve a quadratic equation is by factoring it. In this tutorial, you'll see how to factor a quadratic equation using the guess and check method of factoring. Then, use the zero product property to find the solution!