Question

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

let the number be x

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

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

LCM = 12

5x/2 = -7/12 - 8/12

5x/2 = -15/12

x = -15/12 * 2/5

x = -3/6

verification:

(-3/6 * 5/2)+2/3

-15/12 + 2/3

LCM = 12

-15/12 + 8/12 = -7/12

Answer 2

Answer:

Let x be the rational number.

5/2 × ( 3 / 3 = 7 / 12 )

5/2 * = 7 / 12 -1/3

5/2 = -7 - ( 2 - 4 ) / 12

5/2 × - 15 / 2

Multiplying both sides by ( 2/15 )

x = - 15 / 12 × 2 / 5 = - 1/2

.•. Rational number = - 1/2