CPM Homework Help : A2C Problem 11-88

CPM Homework Banner

Home > A2C > Chapter 11 > Lesson 11.2.4 > Problem 11-88

11-88.

Solve the following equations.

$\frac { 3 } { x } + \frac { 5 } { x - 7 } = - 2$
Step 1 (a):
Multiply the entire equation by x and $x − 7$ .
$3x − 21 + 5x = −2x^{2} + 14x$
Step 2 (a):
Set the equation into standard format.
$2x^{2} − 6x − 21 = 0$
Step 3 (a):
Use the quadratic formula.
$x=\frac{6\pm\sqrt{36+168}}{4}$
Answer (a):
$x=\frac{3\pm\sqrt{51}}{2}$

$\frac { 2 x + 3 } { 4 } - \frac { x - 7 } { 6 } = \frac { 2 x - 3 } { 12 }$
Step 1 (b):
Multiply by the entire equation by $12$ .
$6x + 9 − 2x + 14 = 2x − 3$
Step 2 (b):
Solve for x. $2x = −26$
Answer (b):
$x = −13$

© 2022 CPM Educational Program. All rights reserved.