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Grade 8 HMH Go Math - Answer Keys
Chapter 8:Solving Systems of Linear Equations; Lesson 4: Solving Systems by Elimination with Multiplication
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Guided Practice
Question 1
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Solve the system
\(\begin{cases} 3x - y = 8\\ -2x + 4 y = - 12 \end{cases}\)
by multiplying and adding.
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Solve each system of equations by multiplying first.
Question 2
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\(\begin{cases} x + 4y = 2\\ 2x + 5 y = 7 \end{cases}\)
Question 3
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\(\begin{cases} 3x + y = -1\\ 2x + 3 y = 18 \end{cases}\)
Question 4
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\(\begin{cases} 2x + 8y = 21\\ 6x - 4 y = 14 \end{cases}\)
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Question 5
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\(\begin{cases} 2x + y = 3\\ -x + 3y = -12 \end{cases}\)
Question 6
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\(\begin{cases} 6x + 5y = 19\\ 2x + 3 y = 5 \end{cases}\)
Question 7
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\(\begin{cases} 2x + 5y = 16\\ -4x + 3 y = 20 \end{cases}\)
Question 8
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Bryce spent $5.26 on some apples priced at $0.64 each and some pears priced at $0.45 each. At another store he could have bought the same number of apples at $0.32 each and the same number of pears at $0.39 each, for a total cost of $3.62. How many apples and how many pears did Bryce buy? a. Write equations to represent Bryce’s expenditures at each store
First store:_____________ Second store:_____________
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ESSENTIAL QUESTION CHECK-IN
Question 9
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When solving a system by multiplying and then adding or subtracting, how do you decide whether to add or subtract?
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