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Grade 8 Homework Resolved
Chapter 8:Solving Systems of Linear Equations; Lesson1: Solving Systems of Linear Equations by Graphing
Guided Practice
Solve each system by graphing.
Question 1
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\(\begin{cases} y = 3x - 4\\ y = x + 2 \end{cases}\)
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Question 2
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\(\begin{cases} x - 3y = 2\\ -3x + 9y = -6 \end{cases}\)
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Question 3
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Mrs. Morales wrote a test with 15 questions covering spelling and vocabulary. Spelling questions (x) are worth 5 points and vocabulary questions (y) are worth 10 points. The maximum number of points possible on the test is 100. a. Write an equation in slope-intercept form to represent the number of questions on the test.
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Question 3
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b. Write an equation in slope-intercept form to represent the total number of points on the test.
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Question 3
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c. Graph the solutions of both equations.
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Question 3
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d. Use your graph to tell how many of each question type are on the test.
ESSENTIAL QUESTION CHECK-IN
Question 4
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When you graph a system of linear equations, why does the intersection of the two lines represent the solution of the system?
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