<PRE><B>Question 159192</B>
Two numbers x &amp; y
Write an equation for each statement:
;
find two positive numbers so that twice their sum equals their product
2(x+y) = xy
2x + 2y = xy
:
 and one number is 10 times the other number
x = 10y
:
Substitute 10y for x in the 1st equation, find y
2(10y) + 2y = y(10y)
;
20y + 2y = 10y^2
;
22y = 10y^2
:
0 = 10y^2 - 22y
Factor
2y(5y - 11) = 0
:
5y = +11
y = {{{11/5}}}
y = 2.2
then
x = 10(2.2)
x = 22
;
;
Check solutions in the 1st equation:
2(22 + 2.2) = 22*2.2
2(24.2) = 48.4
48.4 = 48.4</PRE>