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Question

If y=12(3x+7) is written in the form ax+by+c=0, which of the following are possible values of a, b and c?


A

a=+3, b=2, c=+7

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B

a=+3, b=+2, c=+7

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C

a=3, b=+2, c=7

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D

a=3, b=2, c=7

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Solution

The correct option is C

a=3, b=+2, c=7


The given equation is y=12(3x+7).

Simplifying the equation we get
2y3x7=0

Rewriting the equation in standard form ax + by + c = 0 we get

3x+2y7=0

On comparing the above equation with standard form ax + by +c = 0, we get the values of a, b and c is -3, 2 and -7 respectively.

But the equation can also be written as,

3x2y+7=0
(By multiplying both the sides by (-1))

On comparing the above equation with standard form ax + by +c = 0, we get the value of a, b and c is +3, -2 and +7 respectively.


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