177k views
4 votes
What is the value of x in the equation 1/3 x - 1/2 = 18 1/2

User Ali Torki
by
3.8k points

2 Answers

1 vote

Answer:

x=57

Explanation:

1/3x - 1/2 = 18 1/2

first, combine 1/3 and x to get x/3

then, convert 18 1/2 into an improper fraction.

x/3 - 1/2 = 37/2

next, we need to isolate the variable by adding 1/2 to both sides

x/3 = (1+37)/2

x/3 = 38/2

x/3 = 19

now, we have to do the opposite of what's happening to the variable, so since the variable is in a fraction we multiply both sides by 3 to isolate x

3(x/3) = 3(19)

x=57

User Jnowland
by
3.5k points
5 votes
x/3-1/2=18+1/2
x/3=19
x=57
User Tchami
by
3.5k points