CPM Homework Help : CCG Problem 1-17

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Home > CCG > Chapter 1 > Lesson 1.1.2 > Problem 1-17

1-17.

Solve for the given variable. Show the steps leading to your solution. Check your solution.

$-11x=77$

Step 1(a):
Divide both sides by $-11$ .
Step 2(a):
Simplify.
Step 3(a):
Check your answer. Does substituting your solution into the original equation make a true statement?
Answer (a):
$x=−7$

$5c+1=7c-8$

Step 1(b):
Move all variables to one side of the equation.
$\begin{array}{r} 5 c + 1 = 7 c - 8\\ -5 c \qquad -5c \;\; \\ \qquad 1 = 2 c - 8 \end{array}$
Step 2(b):
Add $8$ to both sides to isolate the variable.
$\begin{array}{l} 1 = 2 c - 8 \\ + 8 \quad + 8 \\ 9 = 2 c \end{array}$
Step 3(b):
Solve for $c$ by dividing both sides by $2$ .
$\frac{9}{2}= \frac{2c}{2}$
Step 4(b):
Check your answer.
Answer (b):
$c=4.5$

$\frac{x}{8}=2$

Hint (c):
Multiply both sides of the equation by $8$ .
Answer (c):
$x=16$

$-12=3k+9$

Hint (d):
Subtract $9$ from both sides of the equation.

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