Topics
6. Systems of Equations
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United States of AmericaNC
Grade 8

6.03 Solving systems of equations with the substitution method

Lesson
Practice

Interactive practice questions

We want to solve the following system of equations using the substitution method.

Equation 1 $y=5x+34$y=5x+34
Equation 2 $y=3x+18$y=3x+18
a

First solve for $x$x.

b

Hence, solve for $y$y.

Easy
3min

We want to solve the following system of equations using the substitution method.

Easy
2min

We want to solve the following system of equations using the substitution method.

Equation 1 $y=5x+12$y=5x+12
Equation 2 $4y=28x+72$4y=28x+72
Easy
3min

We want to solve the following system of equations using the substitution method.

Easy
3min
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Outcomes

NC.8.EE.8

Analyze and solve a system of two linear equations in two variables in slope-intercept form. • Understand that solutions to a system of two linear equations correspond to the points of intersection of their graphs because the point of intersection satisfies both equations simultaneously. • Solve real-world and mathematical problems leading to systems of linear equations by graphing the equations. Solve simple cases by inspection.

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