The sound of my inner nerd rolling around in slippery numerical joy
Ok. Time for me to explain and solve the algebra thing I posted a couple days ago.
It really is easy.
I swear.
First, let's look at the top one.
30xy = x squared.
Divide both sides by x and you see that 30y=x.
Save that for a little later. Let's move on to the second one.
(x+y) over two equals 31.
Multiply both sides by two and you see that x+y = 62.
Since we already know from the top problem that 30y=x, just substitute 30y for x in the second problem.
So instead of x+y=62, it's (30y)+y = 62.
30y plus another y is the same thing as saying 31y, so it's 31y=62.
Thus, y = 2.
Now that we know what y is, go back to the first problem and plug it in.
30y = x
30 times 2 = x.
Therefore, x = 60.
We didn't even need the third problem!
But both numbers fit there too. Here, let's solve it anyway.
The square root of x+y+2 is 8.
Square both sides and you find that the actual value of x+y+2 is 64.
Subtract two from both sides and you see that x+y = 62.
And you can plug in either value from the first two problems.
60+2=62.
See how much fun this is?
Isn't this great?
And I made all three of these up just to entertain myself.
Guys?
Is anyone there?
Hello?
Anyone?
It really is easy.
I swear.
First, let's look at the top one.
30xy = x squared.
Divide both sides by x and you see that 30y=x.
Save that for a little later. Let's move on to the second one.
(x+y) over two equals 31.
Multiply both sides by two and you see that x+y = 62.
Since we already know from the top problem that 30y=x, just substitute 30y for x in the second problem.
So instead of x+y=62, it's (30y)+y = 62.
30y plus another y is the same thing as saying 31y, so it's 31y=62.
Thus, y = 2.
Now that we know what y is, go back to the first problem and plug it in.
30y = x
30 times 2 = x.
Therefore, x = 60.
We didn't even need the third problem!
But both numbers fit there too. Here, let's solve it anyway.
The square root of x+y+2 is 8.
Square both sides and you find that the actual value of x+y+2 is 64.
Subtract two from both sides and you see that x+y = 62.
And you can plug in either value from the first two problems.
60+2=62.
See how much fun this is?
Isn't this great?
And I made all three of these up just to entertain myself.
Guys?
Is anyone there?
Hello?
Anyone?
12 comments:
Man, that pizza was good.
Yeah - No...
nonamedufus: You saved some for me, didn't you? ....Didn't you?
Grace: But it's easy!
I actually enjoyed algebra in high school. I never needed to use it since. Until now. I'd forgotten everything about solving vacations, and now you've brought it back. Damn you. ;)
Shelly: Vacations are easy to solve. Sometimes equations are too. :) LOL. I'm glad it brought back memories. :)
Good grief. I didn't even notice I'd typed that. Holy Freudian Slip, Batman! ;)
I saved you x pieces. Y, I don't know.
Shelly: If I remember correctly, a Freudian slip has to have sexual undertones. So you could have said "I'd forgotten everything about solving erections, but..."
nonamedufus: Since X=60, that's a lot of pizza! Thank you.
LOL. A Freudian slip can be anything that reveals what you're really thinking. Which for most people tends to be about sex. ;)
Janna....
All this crap seems like secret agent spy code stuff. Thank you for giving me a headache.
I'll get even.....Some Day!
This is SO interesting!
Shelly: And, in your case, apparently it's about vacations!
G-Man: Just wait til you see my car with the bullet-proof windshield and the ejector seat.
Rastaman: I hope so! :)
Post a Comment