# Solving systems of equation

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• Nov 20th 2012, 03:41 AM
asilvester635
Re: Solving systems of equation
How would you even start to solve this problem
• Nov 20th 2012, 03:48 AM
asilvester635
Re: Solving systems of equation
How would you even start to solve this problem
• Nov 20th 2012, 03:49 AM
asilvester635
Re: Solving systems of equation
How would you even start to solve this problem
• Nov 20th 2012, 03:52 AM
grillage
Re: Solving systems of equation
Just the same way as before. Find t as before and then insert that into the first equation. Now it is quite easy.
• Nov 20th 2012, 06:53 AM
skeeter
Re: Solving systems of equation
Quote:

Originally Posted by asilvester635
Well this was my original question ...

For you and all other problem posters ... note the importance of posting the entire question from the start.
• Nov 22nd 2012, 06:43 PM
asilvester635
Re: Solving systems of equation
How did you get 294, 164, 90, and 184?? I mean i get how the other guy got 201, 180 220, and 420.... ?????????
• Nov 22nd 2012, 07:25 PM
MarkFL
Re: Solving systems of equation
I collected like terms. If you are given x + y + 3 + 7 + 12 = 23, wouldn't you want to rewrite it as x + y = 1?
• Jan 9th 2013, 07:35 PM
violetviviana
Re: Solving systems of equation
x+10+y+36+t+z+80=420
-10 -36 -80
x+y+t+z=294 (we already know that y+z=90)
-y -z -90
x+t=204 (We already know that t=94)
-t -94
x=110

So now, since 210 people are enrolled in Computers, and we already know three out of the 4 computer slots in the venn diagram circle:
210-110-36-10=z
z=54 (that's your answer for how many students are taking all three courses)

Finally, you can do one of 5 things to figure y out:
1) solve for y in the equation with all of the variables equaling 420
x+10+y+36+z+80=420
x+y+t+z=294
y=294-110-94-54

2) Solve for y soley by using the rest of the fine arts numbers.
Total Fine Arts Students: 180
180-80-10-54=y

3) Do the same thing as above, but for Economics:
Total Eco Students: 220
220-94-54-36=y

4) Use the mini equation that we came up with z+y+t=184
z equals 54, & t=94 so
184-54-94=y

5) Use the OTHER mini equation z+y=90
z=54 so
90-54=y

So,
1. 94/500
2. 36/500
3. 54/500
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