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Chapter 4: Q. 46 (page 430)

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

3x+2y=6

Short Answer

Expert verified

The three solutions to given linear equation is0,3,2,0,1,32

Step by step solution

01

Step 1. Given information

In the following exercises we have to find three solutions to each linear equation.
3x+2y=6

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鈥檚 pick first x=0,theny=0, and then find a third point.

03

Step 3. Substitute the value into the equation.

x=0y=0x=13x+2y=63x+2y=63x+2y=63脳0+2y=63x+2脳0=63脳1+2y=62y=63x=63+2y=622y=6233x=633+2y-3=6-3y=3x=22y=3y=3x=222y=32y=3x=2y=32

04

Step 4. Write the ordered pair.

(0,3)(2,0)1,32

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