Question

(i wont ask anymore after this)

How many solutions does each equation have? a) 7(2+5v)=3v+14 b) -3 (3-6b)=6b+5 c) 2 (a-2)=2a-4

Answer 1

a) v = 0

b) b = 7 / 6

c) a = any number

Explanation:

a) 7(2+5v)=3v+14

7 x 2 + 7 x 5v = 3v + 14 .... distributive

14 + 35v = 3v + 14

35v - 3v = 14 - 14

32v = 0

v = 0 ...... only v value can fit

b) -3 (3-6b)=6b+5

-9 + 18b = 6b + 5

18b - 6b = 5 + 9

12b = 14

b = 14 / 12 = 7 / 6

c) 2 (a-2)=2a-4

2a - 4 = 2a - 4

2a -4 + 4 = 2a -4 + 4

2a = 2a

a = a ........ a cab be any number