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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

MA.912.AR.1.2

Rearrange equations or formulas to isolate a quantity of interest.

MA.912.AR.9.1

Given a mathematical or real-world context, write and solve a system of two-variable linear equations algebraically or graphically.

MA.912.AR.9.6

Given a real-world context, represent constraints as systems of linear equations or inequalities. Interpret solutions to problems as viable or non-viable options.

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