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Chapter 4: Q. 102 (page 452)

In the following exercises, graph by plotting points.

3x+5y=5

Short Answer

Expert verified

The graph of the equation is

Step by step solution

01

Step 1. Given Information 

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

3x+5y=5

02

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

3x+5y=53脳0+5y=55y=5

Solve for y.

5y=555y=55y=1

03

Step 3. Now let y=0

3x+5y=53x+5脳0=53x=5

Solve for x.

33x=53x=53

04

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脳1+5y=53+5y=5

Subtract by 3 on both side

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

Solve for y.

55y=25y=25

05

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

06

Step 6. Draw the lines through the three points. 

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