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Addition and Subtraction of Algebraic Expression

How much is x...

Question

How much is x+3y-4z greater than
3x-2y+z ?

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Solution

$x + 3 y - 4 z = 3 x - 2 y + z + a$
$\Rightarrow x - 3 x + 3 y + 2 y - 4 z - z = a$
$\Rightarrow - 2 x + 5 y - 5 z = a$ .
$\Rightarrow a = - 2 x + 5 y - 5 z$ .

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x - 3 y - 2 z, 5 x + 7 y - z, - 7 x - 2 y + 4 z

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