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Q. 102

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Elementary Algebra
Found in: Page 452
Elementary Algebra

Elementary Algebra

Book edition 2nd
Author(s) Lynn Marecek, MaryAnne Anthony-Smith
Pages 1240 pages
ISBN 9780998625713

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Short Answer

In the following exercises, graph by plotting points.

3x+5y=5

The graph of the equation is

See the step by step solution

Step by Step Solution

Step 1. Given Information 

In the given exercises we have to graph by plotting points.

3x+5y=5

Step 2. Find three points that are solutions to the equation.First, let x=0

3x+5y=53×0+5y=55y=5

Solve for y.

5y=555y=55y=1

Step 3. Now let y=0

3x+5y=53x+5×0=53x=5

Solve for x.

33x=53x=53

Step 4. We need a third point. Remember, we can choose any value for x or y.We'll let x=1

3x+5y=53×1+5y=53+5y=5

Subtract by 3 on both side

3+5y-3=5-35y=2

Solve for y.

55y=25y=25

Step 5. Plot all points in a rectangular coordinate system.Plot the points (0,1) (53,0), 1,25

Step 6. Draw the lines through the three points. 

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