What should be added to 3a-2b+c to make it a-b+5c



Given:

Given expressions are $3a-2b+c$ and $a-b+5c$.

To do:

We have to determine the number to be added to $3a-2b+c$ to make it $a-b+5c$.

Solution:

Let the expression to be added be $x$.

Therefore,

$3a-2b+c+x=a-b+5c$

$x=(a-b+5c)-(3a-2b+c)$   (Transposing $3a-2b+c$ to the other side)

$x=(a-3a)+(-b+2b)+(5c-c)$

$x=-2a+b+4c$

The expression to be added is $-2a+b+4c$.

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