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6.03 Solving systems of equations with the substitution method

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

8.EE.8

Analyze and solve pairs of simultaneous linear equations graphically..

8.EE.8b

Use graphs to find or estimate the solution to a pair of two simultaneous linear equations in two variables. Equations should include all three solution types: one solution, no solution, and infinitely many solutions. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.

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