Question

Solve for x in each of the equations or inequalities below, and name the property and/or properties used:

a. 3/4 x = 9
b. 10+ 3x = 5x
c. a + x = b
d. cx = d
e. 1/2 x - g < m
f. q + 5x = 7x - r

Answer 1

a) 3/4 x = 9

x =
`(9* 4)/(3)`

x = 12

b) 10+ 3x = 5x

2 x = 10

x = 5

c) a + x = b

x = b - a

d) c x = d

x =
`(d)/(c)`

e)
`(1)/(2) x - g < m`

`(1)/(2) x< m + g`

x < 2( m + g)

f) q + 5 x = 7 x - r

q + r = 2 x

`x = (q + r)/(2)`