   Chapter 10.5, Problem 1E 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

In Exercises 1 to 4, use division to write an equation of the form A x + B y = C that is equivalent to the one provided. Then write the given equation in the form y = m x + b . 8 x + 16 y = 48

To determine

Express the equation 8x+16y=48 in the form y=mx+b.

Explanation

The given equation is expressed in the standard form as given below.

Subtract 8x from each side of the equation 8x+16y=48

8x+16y-8x=48-8x

8x and -8x on left hand side get cancelled.

16y=48-8x

Rewrite the equation 16y=48-8x as

16y=-8x+48

Now, divide 16y=-8x+48 by 16

So,

16y16=-8x16+4816

Here,

16y16=y

816=12

4816=3

Then,

y=-12x+3

y=-12x+3 can be expressed into its equivalent form

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