Quote:
Originally Posted by mikeyddddd
I got 5/3 in two different ways:
27x(-25/27x) + 27x(8/9) = 27x(1/3)
-25 + 3x(8) = 9x
-25 +24x = 9x
-25 = -15x
-25/-15 = x
5/3 = x
-25/27x = 1/3 - 8/9
-25/27x = 3/9 - 8/9
-25/27x = -5/9
-25 = 27x(-5/9)
-25 = -135x/9
-225 = -135x
-225/-135 = x
5/3 = x
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Wrong answer, Sir.
Let's test your X. Here we go:
-25/27x + 8/9 = 1/3
so
-25/27 * 5/3 + 8/9 must be 1/3 = 0,3(3) right?
but -25/27 * 5/3 + 8/9 is
-0.654320987654321
Thus your solution is wrong. The right answer is
3/5.
See:
-25/27x + 8/9 = 1/3
-25/27x + 24/27 = 9/27
-25x = 9 - 24
25/27x = 15/27
x = 15/25
x = 3/5
Now let's test my number with the original equation:
-25/27 * 3/5 + 8/9 = 0.3(3) which is 1/3
P.S. In Russia we were learning even more complicated square equations (you know
ax^2 + bx + c = 0 where a <> 0) in the 4th grade (10 years old), so were learning the equations like solved above when we were even younger.