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. $a+9b+2c+9d$
• B. $11a-2b+6c+11d$
• C. $-a-2b-6c-11d$
• D. $a+2b+6c+11d$

Answer 1

The correct option is D $a+2b+6c+11d$

Given:
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)
=$(2a+4a-5a)+(3b+6b-7b)+(c+3c+2c)+(d+9d+d)$
= $(a+2b+6c+11d)$