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Grade 8 HMH Go Math - Answer Keys
Chapter 8:Solving Systems of Linear Equations; Lesson 3: Solving Systems by Elimination
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Guided Practice
Question 1
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Solve the system
\(\begin{cases} 4x + 3y = 1\\ x - 3y = -11 \end{cases}\)
by adding.
Type below:
Solve each system of equations by adding or subtracting.
Question 2
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\(\begin{cases} x + 2y = -2\\ -3x + 2 y = -10 \end{cases}\)
Question 3
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\(\begin{cases} 3x + y = 23\\ 3x - 2 y = 8 \end{cases}\)
Question 4
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\(\begin{cases} -4x -5y = 7\\ 3x + 5 y = -14 \end{cases}\)
Question 5
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\(\begin{cases} x - 2y = -19\\ 5x + 2y = 1 \end{cases}\)
Question 6
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\(\begin{cases} 3x + 4y = 18\\ -2x + 4 y = 8 \end{cases}\)
Question 7
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\(\begin{cases} -5x + 7y = 11\\ -5x + 3 y = 19 \end{cases}\)
Question 8
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The Green River Freeway has a minimum and a maximum speed limit. Tony drove for 2 hours at the minimum speed limit and 3.5 hours at the maximum limit, a distance of 355 miles. Rae drove 2 hours at the minimum speed limit and 3 hours at the maximum limit, a distance of 320 miles. What are the two speed limits?
a. Write equatios to represent Tony’s distance and Rae’s distance.
Type below:
Question 8
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b. Solve the system.
minimum speed limit:______________
maximum speed limit______________
ESSENTIAL QUESTION CHECK-IN
Question 9
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Can you use addition or subtraction to solve any system? Explain.