To solve this equation, we first need to find a common denominator for the fractions. In this case, the common denominator is 2x.
So, the equation becomes:
15/x + 17/2x = 1/2
Multiplying the first fraction by 2/2 and the second fraction by x/x to get a common denominator, we get:
(30/2x) + (17x/2x) = 1/2
From here, we can combine the fractions:
(30 + 17x) / 2x = 1/2
Now we can cross multiply:
2(30 + 17x) = 1(2x)
60 + 34x = 2x
Subtract 2x from both sides:
34x - 2x = 60
32x = 60
Divide by 32:
x = 60/32
x = 30/16
x = 15/8
Therefore, the solution to the equation is x = 15/8.
To solve this equation, we first need to find a common denominator for the fractions. In this case, the common denominator is 2x.
So, the equation becomes:
15/x + 17/2x = 1/2
Multiplying the first fraction by 2/2 and the second fraction by x/x to get a common denominator, we get:
(30/2x) + (17x/2x) = 1/2
From here, we can combine the fractions:
(30 + 17x) / 2x = 1/2
Now we can cross multiply:
2(30 + 17x) = 1(2x)
60 + 34x = 2x
Subtract 2x from both sides:
34x - 2x = 60
32x = 60
Divide by 32:
x = 60/32
x = 30/16
x = 15/8
Therefore, the solution to the equation is x = 15/8.