Advertisements
Advertisements
Question
Solve:
`1/10 - 7/x = 35`
Advertisements
Solution
`1/10 - 7/x = 35`
Subtract `1/10` from both sides:
`-7/x = 35-1/10`
Simplify the right-hand side:
`35 = 350/10, "so" 35-1/10 = 350/10 - 1/10 = 349/10`
`-7/x = -349/10`
Multiply through by x to eliminate the denominator: `7 = -349/10x`
Divide by `-349/10`: `x = 7/(-349/10)`
Simplify: `x = (7xx10)/-349 = (-70)/349`
Simplify the fraction:
`x = (-10)/49`
APPEARS IN
RELATED QUESTIONS
Five less than 3 times a number is -20. Find the number.
A’s salary is same as 4 times B’s salary. If together they earn Rs.3,750 a month, find the salary of each.
Separate 178 into two parts so that the first part is 8 less than twice the second part.
A man’s age is three times that of his son, and in twelve years he will be twice as old as his son would be. What are their present ages.
A man completed a trip of 136 km in 8 hours. Some part of the trip was covered at 15 km/hr and the remaining at 18 km/hr. Find the part of the trip covered at 18 km/hr.
Solve: `1/3"x" - 6 = 5/2`
Solve: `(2"x")/3 - (3"x")/8 = 7/12`
A man sold an article for ₹ 396 and gained 10% on it. Find the cost price of the article
The numerator of a fraction is 5 less than its denominator. If 3 is added to the numerator, and denominator both, the fraction becomes`4/5`. Find the original fraction.
Given that x ≥ y. Fill in the blank with suitable inequality sign
x – y `square` 0
