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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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