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Q.

The value of y for which the equation 15(y - 4) - 2(y - 9) + 5(y + 6) = 0 holds true is [[1]].


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answer is 2 3.

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Detailed Solution

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The value of y for which the equation 15(y - 4) - 2(y - 9) + 5(y + 6) = 0 holds true is 2 3 .
We have the linear equation as follows,
15(y - 4) - 2(y - 9) + 5(y + 6) = 0
We will use the distributive property of multiplication, and simplify the equation as follows,
15(y) – 15(4) – 2(y) – 2(-9) + 5(y) +5(6)
15y – 60 – 2y + 18 + 5y + 30
18y – 12 = 0
Adding 12 on both sides, we get,
18y – 12 + 12 = 0 + 12
18y = 12
Dividing by 18 on both sides, we get,
18y 18 = 12 18 y= 2 3
So, the required value of y is 2 3 .
 
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