68.1k views
4 votes
2/3+1/5x=5/6 showing work too plz

User Djizeus
by
7.2k points

2 Answers

4 votes

Answer:

x = 5/6

Explanation:


(2)/(3) + (1)/(5) x = (5)/(6)\\(1)/(5) x =(5)/(6) -(2)/(3) \\(1)/(5) x =(5-4)/(6) \\(1)/(5) x =(1)/(6) \\x = (1)/(6) * (5)/(1) \\x = (5)/(6)

User Abuder
by
7.5k points
0 votes

Answer:x = 6/5

Explanation:

The given expression is

2/3+1/5x=5/6

The Lowest common multiple of 2, 5x and 6 is 30x. We would multiply the left hand side of the equation and the right hand side of the equation by 30x. It becomes

2/3 × 30x + 1/5x × 30x = 5/6 × 30x

= 20x + 6 = 25x

Subtracting 20x from the left hand side and and the right hand side of the equation, it becomes

20x - 20x + 6 = 25x - 20x

5x = 6

x = 6/5

User Chris Lacy
by
6.3k points
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