The sum of $3 x + 9 y + 7 z$ and $6 x + 2 y$ is .

6 x + 11 y + 7 z

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9 x + 9 y + 7 z

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6 x + 9 y

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9 x + 11 y + 7 z

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Solution

The correct option is D $9 x + 11 y + 7 z$
The sum of $3 x + 9 y + 7 z$ and $6 x + 2 y$ is
$(3 x + 9 y + 7 z) + (6 x + 2 y) .$
Simplifying and rearranging the like terms,we get
$(3 x + 6 x) + (9 y + 2 y) + 7 z = 9 x + 11 y + 7 z .$
So, the sum of $3 x + 9 y + 7 z$ and $6 x + 2 y$ is $9 x + 11 y + 7 z .$

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