   Chapter 10.CT, Problem 5CT Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

Complete the following table of x and y-coordinates of points on the graph of the equation 2 x + 3 y = 12 . x 0 3 9 y 4 To determine

Complete the following table by using the equation 2x+3y=12.

Explanation

Substitute the given values in the equation thus find the unknown values.

Substitute x=0 in the given equation 2x+3y=12,

20+3y=12

On simplifying,

3y=12

The coefficient of y is 3, thus divide both sides by 3.

3y3=123

y=4

Thus the first point is 0, 4.

Substitute x=3 in the given equation 2x+3y=12,

23+3y=12

On simplifying,

6+3y=12

3y=12-6

3y=6

The coefficient of y is 3, thus divide both sides by 3.

3y3=63

y=2

Thus the second point is 3, 2

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