CPM Homework Help : AC Problem 11-59

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Home > AC > Chapter Ch11 > Lesson 11.1.5 > Problem 11-59

11-59.

Solve each equation below for the given variable. Be sure to check your solution.

$6x-11=3x+16$
Hint 1(a):
Add $11$ to both sides.
$6x = 3x + 27$
Hint 2(a):
Subtract 3x from both sides.
$3x = 27$
Hint 3(a):
Solve for $x$ .
Answer (a):
$x = 9$

$-2\left(5-3x\right)+5=9+3x$
Hint 1(b):
Distribute the $-2$ .
Hint 2(b):
Follow the steps in part (a).

$\frac { 6 } { k - 2 } = 10$
Hint 1(c):
Multiply both sides by a common factor of the denominators to remove the fractions.
$6=10\left(k-2\right)$
Hint 2(c):
Follow the steps in part (b).

$\frac { 4 } { 3 x - 1 } = \frac { 2 } { x + 3 }$
Hint (d):
Follow the steps in part (c).
Answer (d):
$x = 7$

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