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Complete the table to find three solutions to this equation:

Short Answer

Expert verified

The required table is shown:

x
y
(x,y)
0
-3
(0,-3)
4
0
(4,0)
-4
-6
(-4,-6)

Step by step solution

01

Step 1. Given Information

The given equation are 3x-4y=12.

02

Step 2. Find the equation

Substitute the given value into the equation 3x-4y=12and solve for the other variable. Then, fill in the values in the table.

Substitutex=0in equation

3x-4y=123.0-4y=12y=-3

Therefore, one of the point on the line is (0,-3)

Substitute y=0in equation

3x-4(0)=123x=12x=4

Therefore, one of the point on the line is (4,0).

Substitute x=-4in equation

3x-4y=123(-4)-4y=12-12-4y=12-4y=24y=-6

Therefore, one of the point on the line is(-4,-6).

03

Step 3. Table

The completed table is shown:

x
y
(x,y)
0
-3
(0,-3)
4
0
(4,0)
-4
-6
(-4,-6)

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