Question

EXERCISE
Solve the equations and check the solution.
(a) 2x + 5 = 3x + 1
(c) 5m + 2m + 4 = 3m - 11 + 8m
(e) 4p - 21 = -p/5
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Answer 1

Answer:

a) 2x + 5 = 3x + 1

5 - 1 = 3x - 2x

4 = x

therefore x = 4

b) 5m + 2m + 4 = 3m - 11 + 8m

7m + 4 = 11m - 11

4 + 11 = 11m - 7m

15 = 4m

15/4 = m

therefore m = 15/4

c) 4p - 21 = - p/5

4p + p/5= 21

21p/5 = 21

21p = 21×5

p = 21×5/21

p = 5

therefore p = 5

Answer 2

(a) 2x+5= 3x+1
5-1= 3x-2x
x=4

(c) 5m+2m+4 = 3m-11+8m
7m+4 = 11m-11
4+11 = 11m-7m
15=4m
m=15/4
m=3.75

(e) 4p-21 = -p/5
5(4p-21)=-p
20p-105= -p
20p+p=105
21p=105
p=105/21
p=5

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