Solving a System of Equations by Substitution - part 1

In this lesson, you will learn how to solve a system of equations by substitution method as demonstrated with two examples. If one of the equations is solved for x or y, that value can be substituted into the other equation to create an equation with one variable. The first example shows how to solve a system of equations with y already solved for. In the second example, the instructor explains how to select the easiest variable to solve for by identifying which one has a coefficient of one or negative one.

This is part 1 of how to solve a system of equations using the substitution method. The first system solved is 2x - y = -5 and y = x + 4. The second system solved is 3x + y = -14 and 4x + 3y = -22.

• How do you solve systems of equations using substitution?
• What is the substitution method for solving systems of equations?
• How do you solve the system of equations 2x - y = -5 and y = x + 4?
• How do you know when to use the substitution method?
• How can you check your solution in a systems of equations problem?
• How do you solve the system of equations 3x + y = -14 and 4x + 3y = -22?
• How do you solve a system of equations using substitution when no variable is by itself?
• How do you solve for two variables with two equations?