z+8/3z=14/3
2006-11-01 15:23:51 · 7 answers · asked by stephanie_juarez24 1 in Science & Mathematics ➔ Mathematics
Turn one into a fraction:
3/3z+8/3z=14/3
Combine like terms:
11/3z=14/3
Multiply both sides by 3/11:
z=14/11
Check:
(14/11)+8/3(14/11)=14/3
(14/11)+(112/33)=14/3
42/33+112/33=14/3
154/33=14/3
(154/11)/(33/11)=14/4
14/3=14/3
2006-11-01 15:39:45 · answer #1 · answered by Anonymous · 4⤊ 0⤋
You can handle this one, I know it!
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SOLUTION 1 --- if you meant z + (8/3)z = 14/3
Multiplying by 3 helps to get rid of the fractions:
3z + 8z = 14
Now group the terms:
11z = 14
Divide both sides by 11:
z = 14/11
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SOLUTION 2 --- if you meant z + 8/(3z) = 14/3
This one's trickier. I recommend you start by multiplying both sides of the equation by 3z to get rid of your denominator.
3z^2 + 8 = 14z ... z^2 means "z squared"
Group the terms: 3z^2 -14z + 8 = 0
Now you have a polynomial equation and can use what you've already learned in class to solve for z.
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I encourage you to keep at it. Math can be a lot of fun when you get the hang of it. I highly recommend getting a study partner that you can do homework with on the phone in the evenings to compare answers and help each other out. It's a great way to learn.
2006-11-01 23:35:30 · answer #2 · answered by Rob VH 3 · 0⤊ 1⤋
z+8/3z=11/3z
11/3z=14/3
11z=14
z=14/11
2006-11-01 23:26:34 · answer #3 · answered by b77young 1 · 2⤊ 0⤋
is that (8/3)z or 8/(3z)?
2006-11-01 23:33:30 · answer #4 · answered by banjuja58 4 · 0⤊ 1⤋
z=1 final answer
2006-11-01 23:36:37 · answer #5 · answered by Al Eintstien 1 · 0⤊ 1⤋
according to my calculations the answer should be 4.4000001, I hope this is right and that it helps
2006-11-01 23:30:09 · answer #6 · answered by bobbi-joe 1 · 0⤊ 0⤋
Gosh, What kind of Language is that? LOL
2006-11-01 23:27:10 · answer #7 · answered by Cat Lady 1 · 0⤊ 2⤋