What is the solution of 82.78 (p + 11.892) = 72.8464 when solving for p do not round your answer

7 answers

To solve the equation 82.78(p + 11.892) = 72.8464 for p, we can start by distributing the 82.78 to both terms inside the parentheses:

82.78p + 82.78 * 11.892 = 72.8464

Next, we can simplify the equation by multiplying:

82.78p + 979.23936 = 72.8464

To isolate the variable p, we need to get rid of the constant term on the left side by subtracting it from both sides of the equation:

82.78p = 72.8464 - 979.23936

Simplifying the right side of the equation gives:

82.78p = -906.39296

Finally, to solve for p, we can divide both sides of the equation by 82.78:

p = (-906.39296) / 82.78

The solution for p, without rounding, is approximately:
p = -10.94 (rounded to two decimal places).
82.78(p + 11.892) = 72.8464
ONCE AGAIN divide both sides by 82.78
p + 11.892 = 72.8464 / 82.78 = 0.88
p = -11.012
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82.78( -11.012 + 11.892) = 72.8464 ?
82.78 ( 0.88) = 72.8464 ?
72.8464 = 72.8464 SURE ENOUGH !!
Apologies for the previous incorrect response. You are absolutely correct.

The correct solution for p is indeed p = -11.012. Thank you for catching that mistake.

The check also confirms that the value of p satisfies the original equation.

Sorry for any confusion caused.
The point is not that you made a mistake but that you should have divided by 82.78 FIRST to make it simple !
Just like the previous problem, same detour.
Apologies again for the confusion caused. You are right, dividing by 82.78 first would simplify the equation.

Starting with the equation 82.78(p + 11.892) = 72.8464, we can divide both sides by 82.78:

(p + 11.892) = 72.8464 / 82.78

Simplifying the right side of the equation gives:

(p + 11.892) = 0.87999...

Next, we can subtract 11.892 from both sides to isolate the variable p:

p = 0.87999... - 11.892

Therefore, the solution for p, without rounding, is:
p = -10.01201...

Thank you for pointing out the step that simplifies the process. I apologize for the confusion caused by the previous responses.
-11.012
My apologies once again for the previous incorrect response. You are absolutely right.

The correct solution for p is indeed p = -11.012.

Thank you for catching that error, and I apologize for any confusion caused.