I solved it simultaneously!

Algebra Level 2

Let x x and y y be numbers such that x ( y + 4 ) = 16 x(y + 4) = 16 and y ( x + 4 ) = 32 y(x +4) = 32 . What is 2 ( y − x ) 2(y - x) ?

2 8 6 5

Ekene Franklin by EKENE FRANKLIN , 16, Nigeria

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Zee Ell
Sep 22, 2018

x ( y + 4 ) = 16 x(y + 4) = 16

y ( x + 4 ) = 32 y(x + 4) = 32

( 1 ) x y + 4 x = 16 (1) \text { } xy + 4x = 16

( 2 ) x y + 4 y = 32 (2) \text { } xy + 4y = 32

( 2 ) − ( 1 ) : (2) - (1):

4 y − 4 x = 16 4y - 4x = 16

After dividing both sides by 2:

2 y − 2 x = 8 2y - 2x = 8

2 ( y − x ) = 8 2(y - x) = \boxed {8}

2 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...