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3. Systems of Linear Equations & Inequalities
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United States of AmericaTennessee
Integrated Math 1

3.02 Solving systems of equations by substitution

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

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

Equation 1 $y=6x+14$y=6x+14
Equation 2 $y=2x+2$y=2x+2
a

First, substitute $6x+14$6x+14 in place of $y$y in the second equation, and solve for $x$x.

b

Now, solve for $y$y.

Easy
3min

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

Equation 1 $y=x+5$y=x+5
Equation 2 $x+2y=22$x+2y=22
Easy
3min

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

Equation 1 $x=7-2y$x=7−2y
Equation 2 $3x+4y=11$3x+4y=11
Easy
3min

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

Easy
3min
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Outcomes

M1.A.CED.A.3

Create individual and systems of equations and/or inequalities to represent constraints in a contextual situation, and interpret solutions as viable or non-viable.*

M1.A.REI.C.3

Write and solve a system of linear equations in real-world context.*

M1.MP1

Make sense of problems and persevere in solving them.

M1.MP2

Reason abstractly and quantitatively.

M1.MP3

Construct viable arguments and critique the reasoning of others.

M1.MP4

Model with mathematics.

M1.MP5

Use appropriate tools strategically.

M1.MP6

Attend to precision.

M1.MP7

Look for and make use of structure.

M1.MP8

Look for and express regularity in repeated reasoning.

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