Answer:
[tex]\dfrac{3}{4}\ \text{and}\ \dfrac{-3}{4}[/tex]
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,
[tex]\dfrac{x}{y}=-1[/tex]
It can also be written as :
x = -y ....(1)
The subtraction of first minus the second is -3/2 .
[tex]x-y=\dfrac{-3}{2}\ .....(2)[/tex]
Use equation (1) in (2),
[tex]-y-y=\dfrac{-3}{2}\\\\-2y=\dfrac{-3}{2}\\\\y=\dfrac{3}{4}[/tex]
From equation (1) : [tex]x=\dfrac{-3}{4}[/tex]
Hence, two numbers are [tex]\dfrac{3}{4}\ \text{and}\ \dfrac{-3}{4}[/tex].
