Question

x+3/y=1 and y-7/z=3 then x*y*z equals to

Answer 1

first off, we need to solve this by using simultaneous equation.

so first equation is

$x + \frac{3}{y} = 1$
$x - 1 = \frac{ - 3}{y}$
$xy - y = - 3$
second equation is
$y - \frac{7}{z } = 3$
$y - 3 = \frac{7}{z}$
$- 3 = \frac{7}{z} - y$
so now that each equation equals to -3 we can finally combine both ,why? because bothe equals to the same answer which is -3

fist equation=second equation
$xy - y = \frac{7}{z} - y$
$xy = \frac{7}{z}$
$xyz = 7$