What is the value of F in the following system?

A + B = Z

Z + P = T

T + A = F

B + P + F = 30

A = 8

## Tuesday, August 04, 2009

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What is the value of F in the following system?

A + B = Z

Z + P = T

T + A = F

B + P + F = 30

A = 8

A + B = Z

Z + P = T

T + A = F

B + P + F = 30

A = 8

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Math

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F equals 23.

ReplyDeleteIf we label the equations in order (1) to (5) we have:

(1) & (2) => A + B + P = T

(4) => A + 30 - F = T

(3) => A + 30 - F = F - A

(5) => 46 = 2F => F = 23

ReplyDeleteF=23Since A=8

8+B =Z from 1

subtitute 1 in 2

8 +B + P =T

subsitute above in 3

16 +B+P = F since A= 8 hence 2A=16

subs above in 4

we get

2B+2P+2A = 30

B+P+A=15

this gives

B+P=7

therefore

F=23Visit:

www.guessthelogo.blogspot.comtwenty three. hmmm the previous people found out how to find it alot less complicated then me. I found out the value of T when I substituted certain letters to get the equation: z-8+8+T+T-z=30. Then I got that T=15 and I almost published that before I realized that that was not what you wanted so I panicked thinking I had to somehow find another complicated equation, but just used the equation T+A=F and WUALLAAAA (an exclamation meaning it suddenly appeared :P)

ReplyDeleteAgreed. F=23. (and in case anyone wanted to check work, I'm pretty sure A=8, B=-8, P=15, and T=15 (Z is a free variable)... looking at Rich's answer, I think I made it more complicated than it should have been...wooo lin. alg.)

ReplyDeleteP=0

ReplyDeleteA=8

B=7

T=15

Z=15

F=23

23

ReplyDeleteLooks like there's consensus on this one. F = 23 is the answer.

ReplyDeleteWhat is -1/8f-3/4-1/4f=11?

ReplyDelete