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6-8 Accelerated 7 Unit 5 Lesson 15

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K-5 Math •6-8 Math 9-12 Math

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Accelerated 6 •Accelerated 7

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Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 Lesson 10 Lesson 11 Lesson 12 Lesson 13 Lesson 14 •Lesson 15 Lesson 16 Lesson 17 Lesson 18 Lesson 19 Lesson 20 Lesson 21 Lesson 22 Lesson 23 Lesson 24 Lesson 25 Lesson 26 Lesson 27 Lesson 28

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IM K-5 Math
IM 6-8 Math
IM 9-12 Math

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Unit 5, Lesson 15

Solving Systems of Equations

Accelerated 7

Practice

Problem 1

Write equations for the lines shown.

<p>Graph of two intersecting lines in the xy-plane. Scale negative 8 through 8 on both axes. The first line slants upward and right, crosses the y axis at 2, and passes through the point 1 comma 5. The second line slants downward and to the right, crosses the y axis at 8, and passes through the point 1 comma 5.</p>
Describe how to find the solution to the corresponding system by looking at the graph.
Describe how to find the solution to the corresponding system by using the equations.

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Lesson 15 Resources

Student Materials

Problem 2

The solution to a system of equations is \((5, \text-19)\). Choose two equations that might make up the system.

\(y = \text-3x - 6\)
\(y = 2x - 23\)
\(y = \text-7x + 16\)
\(y = x -17\)
\(y = \text-2x - 9\)

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Problem 3

Solve the system of equations: \(\begin{cases} y=4x-3 \\ y=\text-2x+9 \\ \end{cases}\)

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Problem 4

Solve the system of equations: \(\begin{cases} y=\frac54x-2 \\ y= \frac {\text{-}1}{4}x+19 \\ \end{cases}\)

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Problem 5

ForLesson 9: Strategic Solving

Here is an equation: \(\frac{15(x-3)}{5}= 3(2x-3)\)

Solve the equation by using the distributive property first.
Solve the equation without using the distributive property.
Check your solution.

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