Question

How much is x+2y-3z greater than -x-y-5z​

Answer 1

$\large\color{lime} { \underline{Lets \: assume \: that \: x + 2y - 3z \: is \: greater \: than \: - x - y - 5z \: by \:A .}}$

$\color{aqua}Then, \\ \color{aqua}According \: to \: the \: question \: :-$

$x + 2y - 3z = A + ( - x - y - 5z)$

$A = (x + 2y - 3z) - ( - x - y - 5z)$

$A = x+2y-3z+x+y+5z$

$\large \color{silver}{ \underline{Rearranging\: and \: collecting \: lik e\: terms}}$

$A = x+x+2y+y-3z+5z$

$A \: = \: 2x+3y+2z$

[tex] \color{pink}{ \underline{Hence, \: x + 2y - 3z \: is \: greater \: than \: -x-y-5z\:by\:2x+3y+2z}[\tex]