How do you simplify $4 x + 2 y + 8 - 3 - y - x$ $4x + 2y + 8- 3- y - x$ ?

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Answer 1 · 2017-12-20T02:50:32

$3 x + y + 5$ $3x+y+5$

Alright, here we are just going to simply add/subtract like terms.

$= 4 x + 2 y + 8 - 3 - y - x$ $=color(blue)(4x)color(red)(+2y)+8-3color(red)(-y)color(blue)(-x)$

So we have two $x$ $x$ variables, two $y$ $y$ variables, and 2 numerical values. We just need to add all these together separately.

Add the $x$ $x$ values: $4 x - x = 3 x$ $color(blue)(4x-x =3x)$

$= 3 x + 2 y + 8 - 3 - y$ $=color(blue)(3x)+2y+8-3-y$

Add the $y$ $y$ values: $2 y - y = y$ $color(red)(2y-y=y)$

$= 3 x + y + 8 - 3$ $=3x color(red)(+y)+8-3$

And finally add the numerical values: $+ 8 - 3 = 5$ $color(green)(+8-3 = 5)$

$= 3 x + y + 5$ $=3x+y color(green)(+5)$

Hope that helps!
~Chandler Dowd

How do you simplify 4x + 2y + 8- 3- y - x4x+2y+8−3−y−x4x + 2y + 8- 3- y - x?