Find the sum of the following expressions: $3 a - 4 b + 5 c, 2 a + 3 b - 6 c, - 5 a + 8 b + 7 c$

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Solution

Given expressions: $3 a - 4 b + 5 c, 2 a + 3 b - 6 c, - 5 a + 8 b + 7 c$
Finding the sum of expressions:
$3 a - 4 b + 5 c + 2 a + 3 b - 6 c + (- 5 a + 8 b + 7 c)$
$= 3 a + 2 a - 5 a - 4 b + 3 b + 8 b + 5 c - 6 c + 7 c$ ( Writing the like terms together)
$=$ $5 a - 5 a - 4 b + 11 b + 12 c - 6 c$
$=$ $7 b + 6 c$
Therefore, the required sum of the given expressions is $7 b + 6 c$

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