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3.03 Solving systems of equations by elimination

Adaptive
Worksheet

Interactive practice questions

Consider the following system of equations.

Equation 1 $3x+7y=-6$3x+7y=6
Equation 2 $2x-y=-17$2xy=17

Suppose we want to solve this system by using the elimination method and eliminating $y$y.

a

What value can we multiply Equation 2 by so that the coefficients of $y$y in each equation are opposite numbers?

b

What equation do we get when we multiply the second equation by $7$7?

Easy
1min

Consider the system of equations

Equation 1 $2x-1.8y=5.9$2x1.8y=5.9
Equation 2 $0.65x+0.7y=-0.02$0.65x+0.7y=0.02

When solving the system, which of the following steps would you first take to change the decimal coefficients into integer coefficients?

Easy
< 1min

We are going to use the elimination method to solve the following set of equations.

Easy
3min

We are going to use the elimination method to solve the following set of equations.

Easy
3min
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Outcomes

A1.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.*

A1.A.REI.C.4

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

A1.MP1

Make sense of problems and persevere in solving them.

A1.MP2

Reason abstractly and quantitatively.

A1.MP3

Construct viable arguments and critique the reasoning of others.

A1.MP4

Model with mathematics.

A1.MP5

Use appropriate tools strategically.

A1.MP6

Attend to precision.

A1.MP7

Look for and make use of structure.

A1.MP8

Look for and express regularity in repeated reasoning.

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