Transcript 5.7 Solving Two-Step Equations

Lesson 5.7 How to solve two step linear equations.
Guidelines: Use the methods previously learned for
isolating the variable when solving addition,
subtraction, multiplication and division equations.
4 x + 18 = 6
- 18
Step 1.
Add -18 to both sides.
-18
Step 2. Divide 4 from both sides.
4 x = -12
4
4
x = -3
Does the solution work? 4(-3) + 18 = 6
Yes!
x - 4 = 32
+4 +4
3
3 • x = 36 • 3
Step 1.
Add + 4 to both sides.
Step 2.
Multiply both sides by 3
3
x = 108
Does the solution work? 108 - 4 = 32
3
36 - 4 = 32
Yes!
Practice:
6 x - 12 = -36
a + 1 = 3
15
3
5
1.2 w + 2 = 62
Amy spent $33 at the mall. She bought a blouse for
$17, and four pairs of socks. How much did she pay for
one pair of socks?
Number of
pairs of
socks.
4 s
Solve
•
+ 17
Cost of
socks
= 33
Cost of
+ blouse
=
Total
Cost