CPM Homework Help : MC2 Problem 11-43

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11-43.

Solve the following equations.

$12 = \frac { 6 } { 7 } x$
Hint (a):
Isolate the variable.
Help (a):
$\text{Multiply both sides of the equation by } \frac{7}{6}$
$\left( \frac{7}{6} \right) 12 = \frac{6}{7} x \left( \frac{7}{6} \right)$
Answer (a):
$x = \frac{7}{6} (12) = 14$

$3x + (–4) = 2x + 9$
Step 1(b):
$3x + (−4) = 2x + 9$
Step 2:
$x + (−4) = 9$
Answer (b):
$x = 13$

$3x-8 = 4x + (–2)$
Hint (c):
See (b).

$2x-6 = 1 – 3x$
Hint (d):
See (b).

$\frac { 38 } { 6 } = \frac { x } { 18 }$
Hint (e):
You can multiply both sides by $18$ .
Help (e):
$\left( \frac{38}{6} \right) 18 = \left( \frac{x}{18} \right)18$
Answer (e):
$x = \frac{684}{6} = 114$

$\frac { 9 } { x } = \frac { 85 } { 10 }$
Hint (f):
See (e).
Answer (f):
$x = \frac{90}{85}$

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