Question

Q5 Solve the following questions based on linear equation in one variable.
1. Solve x/3 + 1/5 = x/2 - 1/4
2. Show that x = 4 is a solution of the equation x + 7 - 8x/3 = 17/6 - 5x/8
3. Find x for the equation: (2 + x)(7 - x)/(5 - x)(4 + x) = 1
4. A number is such that it is as much greater than 45 as it is less than 75.
Find the number.
5. Divide 40 into two parts such that 1/4th of one part is 3/8th of the other.
6. X + 3x/2 = 35. Find x.
7. A is twice old as B. Five years ago A was 3 times as old as B. Find their
present ages.

Answer 1

Answer:i) 9/20

Step-by-step explanation:

i) x/3 + 1/5 = x/2 - 1/4

5x+3 / 15 = 4x-1 / 4

4(5x+3) = 15 (4x- 1)

20x + 3 = 60x - 15

20x - 60x = - 15-3

-40x = - 18

x = 18/40 = 9/20