Question

Q3. A rational number is such that when you multiply it by 5/2 and add 2/3 to
the product
you get -7/12.
What is the number?​

Answer 1

Answer:

Step-by-step explanation: let the rational no. be X

5x/2 + 2/3 = -7/12/

(15x + 4)/6 = -7/12

15x +4 = -7/2

15x = -15/2

X= -1/2

Answer 2

So , let the number be X

5/2×2/3 ×x = -7/2

10/6 x = -7/2

x = -7/2×6/10

x = -42/20

x= -21/10

Verification :

5/2×2/3×-21/10=-7/2

10/6×-21/10 = -7/2

-210/60 = -7/2

-21/60 = -7/2

-7/2 = -7/2

LHS = RHS

Hence , condition satisfies ✓