Question

Encuentren dos números cuyo cociente sea -1 y que la resta del primero menos el segundo sea -3/2

Answer 1

Answer:

$\dfrac{3}{4}\ \text{and}\ \dfrac{-3}{4}$

Step-by-step explanation:

Find two numbers whose quotient is -1 and the subtraction of the first minus the second is -3/2

Let two numbers are x and y. When they are divided the quotient is -1. So,

$\dfrac{x}{y}=-1$

It can also be written as :

x = -y ....(1)

The subtraction of first minus the second is -3/2 .

$x-y=\dfrac{-3}{2}\ .....(2)$

Use equation (1) in (2),

$-y-y=\dfrac{-3}{2}\\\\-2y=\dfrac{-3}{2}\\\\y=\dfrac{3}{4}$

From equation (1) : $x=\dfrac{-3}{4}$

Hence, two numbers are $\dfrac{3}{4}\ \text{and}\ \dfrac{-3}{4}$.