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Question

# 2a + 3b + c + d ----(1) 6b + 3c + 9d + 4a--(2) 5a + 7b - 2c - d-----(3) What is the value of (1) + (2) - (3)?

A
a+9b+2c+9d
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B
11a2b+6c+11d
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C
a2b6c11d
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D
a+2b+6c+11d
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Solution

## The correct option is D a+2b+6c+11dGiven: 2a + 3b + c + d ----(1) 6b + 3c + 9d + 4a--(2) 5a + 7b - 2c - d-----(3) The value of (1) + (2) - (3) =(2a+3b+c+d)+(4a+6b+3c+9d)−(5a+7b−2c−d) Adding all the like terms together and simplifying the expression, we get (1) + (2) - (3) =(2a+4a−5a)+(3b+6b−7b)+(c+3c+2c)+(d+9d+d) = (a+2b+6c+11d)

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