What is the main goal when using the substitution method to solve a system of equations?

The main goal is to substitute one of the variables with an expression so that we have an equation with only one variable.

In the context of solving systems of equations, what does it mean to 'substitute'?

To substitute means to replace a variable in one equation with an equivalent expression from another equation.

7th GradeMath55 min

I can solve systems of equations using the substitution method.

5 min

The substitution method | Systems of equations | 8th grade | Khan Academy

Khan Academy

11 min

Key concepts students will learn:

•
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.

17 min

12 questions • Short answer

5 min

“Solve the following system of equations using the substitution method: y = x + 3 and 2y = 4x + 2”

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