Download EXAMPLE EXAMPLES SOLVING MULTI

Chapter Summary and Review continued
3.3
Examples on
pp. 144–146
SOLVING MULTI-STEP EQUATIONS
EXAMPLE
You may need more than one step to solve an equation.
2p (5) 2p 13
Write original equation.
2p 5 2p 13
Use subtraction rule to simplify.
4p 5 13
Combine like terms 2p and 2p.
4p 5 5 13 5
Subtract 5 from each side to undo the addition.
4p 8
Simplify both sides.
4p
8
4
4
Divide each side by 4 to undo the multiplication.
p 2
Simplify.
Solve the equation.
7. 26 9x 1
8. 32 4c 12
10. 2(4 x) 7 5
3.4
11. n 3(1 2n) 17
9. 9r 2 6r 1
3
12. (x 8) 9
4
Examples on
pp. 151–153
SOLVING EQUATIONS WITH VARIABLES ON BOTH SIDES
EXAMPLES Linear equations can have one solution, no solution, or many
solutions. To solve, collect the variable terms on one side of the equation.
Equation with one solution:
Equation with no solution:
Equation with many solutions:
15d 20 7d 4
6x 5 15 6x
2n 5n 11 2 3n 9
8d 24
6x 5 6x 15 6x 6x
3n 11 11 3n
d 3
5 15
The solution is 3.
The original equation
has one solution.
5 15 is never true no
matter what the value of x. The
original equation has no solution.
11 11
11 11 is always true, so
all values of n are solutions.
The original equation is
an identity.
Solve the equation if possible. Determine whether the equation has
one solution, no solution, or is an identity.
190
13. 24 3x 9x
14. 15x 23 15x
15. 2m 9 6 m
16. 36 4d 4(9 d)
17. 12 11h 18 4h
18. 2x 18 4x 2x 10
Chapter 3
Solving Linear Equations