Solving Systems with Substitution
Learning Objective
I can solve systems of equations using the substitution method.
Key Concepts
The substitution method involves substituting a variable with an expression to create an equation with only one variable.
In the given system, 2y = x + 7 and x = y - 4, we can substitute y - 4 for x in the first equation.
After solving for one variable, substitute the value back into either equation to solve for the remaining variable.
Practice Questions
This lesson includes 12 practice questions to reinforce learning.
View questions preview
1. What is the main goal when using the substitution method to solve a system of equations?
2. In the context of solving systems of equations, what does it mean to 'substitute'?
3. Solve the following system of equations using substitution: y = x + 2, 2y = 6
...and 9 more questions
Educational Video
The substitution method | Systems of equations | 8th grade | Khan Academy
Khan Academy