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Chapter 4: Q. 567 (page 565)

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

3x+2y=6

Short Answer

Expert verified

The table of solutions to the equation 3x+2y=6is

Step by step solution

01

Step 1. Given information

The given equation is

3x+2y=6

The given incomplete table is

02

Step 2. Solution order pair

Substitute x=0in the equation and solve for y

3x+2y=63(0)+2y=62y=6y=3

So solution ordered pair is(0,3)

03

Step 3. Solution order pair

Substitute y=0 in the equation and solve for x

3x+2y=63x+2(0)=63x=6x=2

So solution ordered pair is(2,0)

04

Step 4. Solution order pair

Substitute x=-2in the equation and solve for y

role="math" localid="1647467299429" 3x+2y=63(-2)+2y=6-6+2y=62y=12y=6

So solution ordered pair is(-2,6)

05

Step 5. Table 

Substitute all missing values in the table

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