Question

Please help it's homework



`y - x = 3 \\ xy = 10`
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Answer 1

x = 2 and y = 5

Explanation:

Given equations are :

y-x = 3 ......(1)

xy = 10 or

x = (10/y) ....(2)

Put the value of x in equation (1).

`y-(10)/(y)= 3\\\\y^2-10=3y\\\\y^2-3y-10=0\\\\y=0\ and\ y=5`

Put the value of y in equation (2).

`x=(10)/(5)\\\\x=2`

So, the value of x is equal to 2 and that of y is equal to 5.