Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter 2.2, Problem 48PPS
To determine

To calculate: The x -intercept and y -intercept of the equation 8x+123=16y+24 and graph the equation using intercepts.

Expert Solution & Answer
Check Mark

Answer to Problem 48PPS

The x -intercept is 152 .

The y-intercept is 54 .

  Algebra 2, Chapter 2.2, Problem 48PPS , additional homework tip  1

Explanation of Solution

Given information:

The equation 8x+123=16y+24 .

Formula used:

The x -intercept is the value of x when y=0 .

The y -intercept is the value of y when x=0 .

Calculation:

It is provided that the equation 8x+123=16y+24

For x -intercept substitute y=0 in the equation 8x+123=16y+24 ,

Multiplying by 3 and further solving we get,

  =8x+123=16y+24=8x+12=3(16y+24)=8x+12=48y+72=8x48y=7212=8x48y=60=8x48(0)=60=8x=60=x=608=x=152

The x -intercept is 152 .

For y -intercept substitute x=0 in the equation 8x+123=16y+24 ,

  =8x+123=16y+24=8x+12=3(16y+24)=8x+12=48y+72=8x48y=7212=8x48y=60=8(0)48y=60=48y=60=y=6048=y=54

The y-intercept is 54 .

Therefore, the ordered pairs are (152,0)  and (0,54)  .

Now, the plot the points (152,0)  and (0,54)  on the coordinates axes, to graph the equation 8x+123=16y+24 .

  Algebra 2, Chapter 2.2, Problem 48PPS , additional homework tip  2

Figure 1.

The x -intercept is 152 .

The y-intercept is 54 .

Chapter 2 Solutions

Algebra 2

Ch. 2.1 - Prob. 5CYUCh. 2.1 - Prob. 6CYUCh. 2.1 - Prob. 7CYUCh. 2.1 - Prob. 8CYUCh. 2.1 - Prob. 9CYUCh. 2.1 - Prob. 10CYUCh. 2.1 - Prob. 11PPSCh. 2.1 - Prob. 12PPSCh. 2.1 - Prob. 13PPSCh. 2.1 - Prob. 14PPSCh. 2.1 - Prob. 15PPSCh. 2.1 - Prob. 16PPSCh. 2.1 - Prob. 17PPSCh. 2.1 - Prob. 18PPSCh. 2.1 - Prob. 19PPSCh. 2.1 - Prob. 20PPSCh. 2.1 - Prob. 21PPSCh. 2.1 - Prob. 22PPSCh. 2.1 - Prob. 23PPSCh. 2.1 - Prob. 24PPSCh. 2.1 - Prob. 25PPSCh. 2.1 - Prob. 26PPSCh. 2.1 - Prob. 27PPSCh. 2.1 - Prob. 28PPSCh. 2.1 - Prob. 29PPSCh. 2.1 - Prob. 30PPSCh. 2.1 - Prob. 31PPSCh. 2.1 - Prob. 32PPSCh. 2.1 - Prob. 33PPSCh. 2.1 - Prob. 34PPSCh. 2.1 - Prob. 35HPCh. 2.1 - Prob. 36HPCh. 2.1 - Prob. 37HPCh. 2.1 - Prob. 38HPCh. 2.1 - Prob. 39HPCh. 2.1 - Prob. 40HPCh. 2.1 - Prob. 41HPCh. 2.1 - Prob. 42HPCh. 2.1 - Prob. 43HPCh. 2.1 - Prob. 44HPCh. 2.1 - Prob. 45STPCh. 2.1 - Prob. 46STPCh. 2.1 - Prob. 47STPCh. 2.1 - Prob. 48STPCh. 2.1 - Prob. 49STPCh. 2.1 - Prob. 50STPCh. 2.1 - Prob. 51STPCh. 2.1 - Prob. 52STPCh. 2.1 - 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