1. Solving Two-Step Equations
COURSE 2 LESSON 2-6
(For help, go to Lesson 2-4.)
Solve each equation.
1. 4b = –4d = –3c = –27
= – p = = –3
= = – = –10 t –3 x –5 y –6 h 6 k 4
2-6

2. Solving Two-Step Equations
COURSE 2 LESSON 2-6
Solutions
1. 4b = –4d =   –3c = –27
= = =
b = d = – c = 9
( ) = 4(–16); k = – = ; p = 6
6. 6( ) = 6(–3); h = – –3( ) = –3(8); t = –24
8. –5( ) = –5(–7); x = –6( ) = –6(–10); y = 60 4b 4 x –5 8p 8 t –3 y –6 24
–4d –4 20
–3c
–27 k h 6 48
2-6

3. Solving Two-Step Equations
COURSE 2 LESSON 2-6
Solve 6r = 43.
6r = 43
6r – 19 = 43 – 19 To undo addition, subtract 19 from each side.
6r = Simplify.
To undo multiplication, divide each side by 6. 6r 6 24 =
r = 4 Simplify.
Multiply.
6(4) Substitute 4 for r.
43 = 43 The solution checks.
Check 6r = 43 Check your solution with the original equation.
2-6

4. Solving Two-Step Equations
COURSE 2 LESSON 2-6
Solve – 4 = 10. a 5
– 4 = 10 a 5
– = First undo subtraction. a 5
= Simplify. a 5
= 5(14) Then undo division. a 5
a = 70
2-6

5. Solving Two-Step Equations
COURSE 2 LESSON 2-6
Solve each equation.
1. 9r + 7 = – 6 = 14
3. 3t – 4 = = –1 s 4
r = 8
s = 80 v 5
t = 16
v = –35
2-6