CPM Homework Help : CC3 Problem 6-83

CPM Homework Banner

Home > CC3 > Chapter 6 > Lesson 6.2.4 > Problem 6-83

6-83.

Solve the following equations for $x$ , if possible. Check your solutions.

$−(2−3x)+x=9−x$
Hint (a):
Distribute the negative first, then simplify.
$−2+3x+x=9−x$

$\frac { 6 } { x + 2 } = \frac { 3 } { 4 }$
Hint (b):
What can you do to eliminate the fractions?
Step 1 (b):
Cross-multiply. $6·4=3(x+2)$
Step 2 (b):
Simplify.
$24=3x+6$
$18=3x$
Answer (b):
$x=6$

$5−2(x+6)=14$
Hint (c):
Remember to distribute the negative sign along with the $2$ .

$\frac { 1 } { 2 } x - 4 = - 3 - \frac { 1 } { 3 } x$
Hint (d):
What can you do to eliminate the fractions?
Answer (d):
$x=1.2$

© 2022 CPM Educational Program. All rights reserved.