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2/3x+1/6=1 what is x

User Seok
by
5.5k points

2 Answers

3 votes

Answer:


\boxed {x = (5)/(4)}

Explanation:

Solve for the value of
x:


(2)/(3)x + (1)/(6) = 1

-Subtract
(1)/(6) to both sides and convert the
1 into a fraction. Since they both fractions
(6)/(6) and
(1)/(6) both have the same denominators, then you would subtract the numerators:


(2)/(3)x + (1)/(6) - (1)/(6) = 1 - (1)/(6)


(2)/(3)x = (6)/(6) - (1)/(6)


(2)/(3)x = (5)/(6)

-Multiply both sides by
(3)/(2) which is the reciprocal of
(2)/(3). By multiplying two you need to multiply both numerators and denominators:


x = (5)/(6) * ((2)/(3))


x = (5 * 3)/(6 * 2)


x = (15)/(12)

-Simplify the fraction by reducing by
3:


x = (15)/(12)


\boxed {x = (5)/(4)}

Therefore, the value of
x is
(5)/(4).

User Ashfaque
by
5.4k points
3 votes

Answer:

x = 4/5 0r 0.800

Explanation:

User Jeppe Stig Nielsen
by
6.0k points