SOLUTION: Using the equation D = , explain in words the steps you would take to isolate this 3(p−5) / s equation for the variable, p.

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Question 1195768: Using the equation D = , explain in words the steps you would take to isolate this
3(p−5) / s
equation for the variable, p.

Found 2 solutions by Theo, ankor@dixie-net.com:
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
equation is D = 3(p−5) / s
multiply both sides of the equation by s to get:
s * D = 3 * (p - 5)
simplify to get:
s * D = 3 * p - 15
add 15 to both sides of the equation to get:
s * D + 15 = 3 * p
divide both sides of the equation by 3 to get:
(s * D + 15) / 3 = p

to see if this is true, let s = 5 and p = 15 (random choices).

the original equation becomes:
D = 3 * (15 - 5) / 5
solve for D to get:
D = 6

now that you know what the alue of D is, and you already know what the value of s is, then solve the equation of:
p = (s * D + 15) / 3
that becomes:
p = (5 * 6 + 15) / 3
solve for p to get:
p = 15.

since that was the original value of p, you have just confirmed that the equation for p is good, because you were able to get the value of p equal to the same value for p that you derived from the original equation.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Using the equation D = , explain in words the steps you would take to isolate this
3(p−5) / s
equation for the variable, p.
:
%283%28p-5%29%29%2Fs+=+D
multiply by s, distribute the 3
3p - 15 = Ds
Add 15 to both sides
3p = Ds + 15
divide both sides by 3
p = %28%28Ds%2B15%29%29%2F3