Question

Maths
Simplification
Simplify.
(2x – 3y) + (5x - y) – (- 4x + 3y + 3)​

Answer 1

Step-by-step explanation:

2x-3y+5x-y+4x-3y-3

11x-7y-3

I think it can't be simplified further..

Answer 2

Answer:

$\left(2x-3y\right)+\left(5x-y\right)-\left(-4x+3y+3\right)=11x-7y-3$

Step-by-step explanation:

$\left(2x-3y\right)+\left(5x-y\right)-\left(-4x+3y+3\right)$

$\gray{\mathrm{Remove\:parentheses}:\quad \left(a\right)=a}$

$=2x-3y+5x-y-\left(-4x+3y+3\right)$

$\black{-\left(-4x+3y+3\right)}$

$\gray{\mathrm{Distribute\:parentheses}}$

$=-\left(-4x\right)-\left(3y\right)-\left(3\right)$

$\gray{\mathrm{Apply\:minus-plus\:rules}}$

$\gray{-\left(-a\right)=a,\:\:\:-\left(a\right)=-a}$

$=4x-3y-3$

$=2x-3y+5x-y+4x-3y-3$

$\black{\mathrm{Simplify}\:2x-3y+5x-y+4x-3y-3}$

$2x-3y+5x-y+4x-3y-3$

$\gray{\mathrm{Group\:like\:terms}}$

$=2x+5x+4x-3y-y-3y-3$

$\gray{\mathrm{Add\:similar\:elements:}\:2x+5x+4x=11x}$

$=11x-3y-y-3y-3$

$\gray{\mathrm{Add\:similar\:elements:}\:-3y-y-3y=-7y}$

$=11x-7y-3$