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In the following exercises, find three solutions to each linear equation.

4x−y=8

Short Answer

Expert verified

The three solutions to given linear equation is0,-8,2,0,1,-4

Step by step solution

01

Step 1. Given information

In the following exercises we have to find three solutions to each linear equation.
4x−y=8

02

Step 2. We can substitute any value we want for x or any value for y.

Since the equation is in standard form, let’s pick first x=0,theny=0, and then find a third point.

03

Step 3. Substitute the value into the equation.

x=0y=0x=14x−y=84x−y=84x−y=84×0−y=84x−0=84×1−y=8−y=84x=84−y=8−y×(−1)=8×(−1)44x=844−y-4=8-4y=−8x=2-y=4y=−8x=2-y×(−1)=4×(−1)y=−8x=2y=−4

04

Step 4. Write the ordered pair.

0,-82,01,-4

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