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Pre-Algebra Lesson 8-8

# Pre-Algebra Lesson 8-8 - 6 5 4 3 2 1 1 2 3 4 5 6 Systems of...

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Systems of Equations Objective: To solve systems of linear equations by graphing.

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5-Minute Quiz Use the x- and y-intercepts to graph each equation. 1. y = 6 – x 2. y = x – ½
Systems of Equations The equations c = 10 + 0.1n and c = 5 + 0.2n together are called a system of equations . The solution to this system is the ordered pair that is a solution to both equations.

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Systems of Equations We can solve systems of equations by graphing each equation and see where they cross. The ordered pair of their crossing is the solution to the system.
Systems of Equations Example 1. Solve the following system of equations: y = -2x + 6 y = ½x + 1 6 5 4 3 2 1 0 1 2 3 4 5 6

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Systems of Equations Example 1. Solve the following system of equations: y = -2x + 6 y = ½x + 1 6 5 4 3 2 1 0 1 2 3 4 5 6
Systems of Equations Example 1. Solve the following system of equations: y = -2x + 6 y = ½x + 1 6 5 4 3 2 1 0 1 2 3 4 5 6

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Systems of Equations Example 1. Solve the following system of equations: y = -2x + 6 y = ½x + 1

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Unformatted text preview: 6 5 4 3 2 1 1 2 3 4 5 6 Systems of Equations Example 1. Solve the following system of equations: y = -2x + 6 y = ½x + 1 6 5 4 3 2 1 1 2 3 4 5 6 Solution: (2, 2) Systems of Equations Example 2. Solve the following system of equations: y = 2x + 1 y = ½x + 3 6 5 4 3 2 1 1 2 3 4 5 6 Systems of Equations Example 2. Solve the following system of equations: y = 2x + 1 y = ½x + 3 6 5 4 3 2 1 1 2 3 4 5 6 Systems of Equations Example 2. Solve the following system of equations: y = 2x + 1 y = ½x + 3 6 5 4 3 2 1 1 2 3 4 5 6 Systems of Equations Example 2. Solve the following system of equations: y = 2x + 1 y = ½x + 3 6 5 4 3 2 1 1 2 3 4 5 6 Systems of Equations Example 2. Solve the following system of equations: y = 2x + 1 y = ½x + 3 6 5 4 3 2 1 1 2 3 4 5 6 Solution: (4/3, 11/3) Systems of Equations Assignment: 14 – 34E, 35 - 46 all. Pages 415 & 416...
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Pre-Algebra Lesson 8-8 - 6 5 4 3 2 1 1 2 3 4 5 6 Systems of...

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