Solve the equation ay/x = cz for each of the following
the variable y
the variable z
the variable x
2007-10-19 16:44:54 · 8 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
What they want you to do here is isolate y, z and x, expressing them in terms of the other variables.
ay/x = cz
ay = czx (Multiplying both sides by x)
y = czx/a (Dividing both sides by a to isolate y)
Solved for y.
ay/x = cz
cz = ay/x (Can also be written like this)
z = ay/cx (Dividing both sides by c to isolate z)
Solved for z.
ay/x = cz
1/x = cz/ay (Dividing both sides by ay to isolate x)
x = ay/cz (Taking reciprocal of both sides)
Solved for x
To sum up the answer:
y = czx/a
z = ay/cx
x = ay/cz
2007-10-19 17:19:08 · answer #1 · answered by Akilesh - Internet Undertaker 7 · 0⤊ 0⤋
.... very simple... just solve for them, so I really do not know what your question is on this question. so you need help with strategies or something. all you have to do is get the variable y by itself for the first one, the variable z by itself for the second one and the variable x by itself for the third one.
i.e.
if you have a/y = z
and you want to solve for y then you would multiply both sides by y and get
a = zy
then divide both sides by z and you get
y = a/z
which is the answer to my example problem.
2007-10-19 16:52:45 · answer #2 · answered by danielg33125 2 · 0⤊ 2⤋
Multiply both sides by x (to get y alone). Now it's: ay = czx. Divide both sides by a, this is the answer: y = czx/a.
This one's easier, divide both sides by c. It would be ay/xc = z.
Multiply both sides by ay. x = czay.
2007-10-19 17:00:22 · answer #3 · answered by J 5 · 0⤊ 1⤋
ay/x = cz
Find y
ay/x = cz
Multiply both sides by x/a to eliminate a/x from the first side
(MPE)
x/a ( ay/x = cz ) x/a
y = cxz/a
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Find z
Divide both sides by c (DPE) or simply transpose c to the other side
ay/cx = cz/c
ay/xz = z or z = ay/xz
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To find x
Transpose ay to the other side
1/x = cz/ay
Get reciprocal of 1/x
x^-1 = cz/ay
Transpose negative exponent
x = -1 root of cz/ay
I'm doubt of my answer in the variable x. ; )
2007-10-19 17:18:03 · answer #4 · answered by totzzz_636 1 · 1⤊ 0⤋
x=ay/cz
y=czx/a
z=ay/cx
2007-10-19 21:57:15 · answer #5 · answered by Anonymous · 0⤊ 0⤋
y=czx/y
z=ay/xc
x=aycz
2007-10-19 16:52:25 · answer #6 · answered by brookester333 2 · 1⤊ 1⤋
3T43
2014-08-02 23:47:32 · answer #7 · answered by ? 1 · 0⤊ 0⤋
y = (c * z * x) / a
z = (a * y) / (x * c)
x = (a * y) / (c * z)
also,
a = (c * z * x) / y
c = (a * y) / (x * z)
2007-10-19 16:56:48 · answer #8 · answered by M S 2 · 1⤊ 0⤋