What is the value of p in the proportion below?
1/3 = P-2/p+8
I will take it just the way you typed it
times 3p
p = 3pP - 6 + 24p
p - 24p - 3pP = -6
-23p - 3pP = -6
23p + 3pP = 6
p(23+3P)=6
p = 6/(23+3P)
perhaps you meant:
1/3 = (P-2)/(p+8)
or
1/3 = P - 2/(p+8)
or
...
or perhaps the capital P is the same as the little p
or
We can't tell, the answer would be drastically different each time
To find the value of p in the proportion equation 1/3 = (p - 2)/(p + 8), we can cross-multiply and solve for p.
Step 1: Cross-multiply
Multiply the numerator of the first fraction (1) by the denominator of the second fraction (p + 8), and multiply the denominator of the first fraction (3) by the numerator of the second fraction (p - 2):
1 * (p + 8) = 3 * (p - 2)
Step 2: Expand the equation
Distribute the multiplication on both sides of the equation:
p + 8 = 3p - 6
Step 3: Simplify and isolate p
Subtract p from both sides of the equation:
p - 3p = -6 - 8
-2p = -14
Divide both sides of the equation by -2 to solve for p:
p = (-14) / (-2)
Step 4: Simplify the equation
Divide -14 by -2:
p = 7
So, the value of p in the proportion is 7.