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Subtract 3x-4y-7z from the sum of x-3y+2z and -4x+9y-11z.

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6 x + 10 y − 2 z

− 6 x + 10 y − 2 z

− 6 x − 10 y − 2 z

6 x + 10 y + 2 z

answer is B.

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Detailed Solution

Given expressions are:
x-3y+2z …(1)
-4x+9y-11z …(2)
And 3x-4y-7z …(3)
Now, adding equations (1) and (2),

x − 3 y + 2 z + − 4 x + 9 y − 11 z = x − 3 y + 2 z − 4 x + 9 y − 11 z ⇒ x − 3 y + 2 z + − 4 x + 9 y − 11 z = x − 4 x + − 3 y + 9 y + 2 z − 11 z ⇒ x − 3 y + 2 z + − 4 x + 9 y − 11 z = − 3 x + 6 y − 9 z

According to the question, subtract the equation (3) from the sum of equation (1) and (2),

− 3 x + 6 y − 9 z − 3 x − 4 y − 7 z = − 3 x + 6 y − 9 z − 3 x + 4 y + 7 z ⇒ − 3 x + 6 y − 9 z − 3 x − 4 y − 7 z = − 3 x − 3 x + 6 y + 4 y + − 9 z + 7 z ⇒ − 3 x + 6 y − 9 z − 3 x − 4 y − 7 z = − 6 x + 10 y − 2 z

So, the value of the given expression is

− 6 x + 10 y − 2 z

.
Hence, option 2 is correct.

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