CPM Homework Help : GB8I Problem 1-23

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Home > GB8I > Chapter 1 Unit 1 > Lesson INT1: 1.1.2 > Problem 1-23

1-23.

Solve each linear equation. Check your solutions.

$- 2 x - 3 = 3$

Step 1(a):
Add 3 to both sides.

−2x − 3 = 3
+3 +3
−2x = 6
Step 2(a):
Divide both sides by −2
${\frac{-2x}{-2} = \frac{6}{-2}}$
Answer (a):
x = −3

$7 + 2 x = 4 x - 3$

Step 1(b):
Add 3 to both sides.

7 + 2x = 4x − 3
+3 +3
10 + 2x = 4x
Step 2(b):
Subtract 2x from both sides.

10 + 2x = 4x
-2x -2x
10 = 2x
Step 3(b):
Divide both sides by 2.
$\text{$ \frac{10}{2} =\frac{2x}{2}$}$
Answer (b):
x = 5

$6 x - 10 = - 8 + 3 x$

Hint (c):
Refer to part (b).

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