Solve the equation given in Exercise 15 with and without using the LCD of the fractions. Are your answers the same?

1 answer:

Colt1911 [192]3 years ago

3 0

Without LCD :
1/2(4x + 6) = 1/3(9x - 24)
2x + 3 = 3x - 8
2x - 3x = -8 - 3
-x = - 11
x = 11

with LCD :
1/2(4x + 6) = 1/3(9x - 24) ...multiply by 6
3(4x + 6) = 2(9x - 24)
12x + 18 = 18x - 48
12x - 18x = -48 - 18
-6x = - 66
x = -66/-6
x = 11

Yes, the answers are the same :)

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kykrilka [37]

Texaschic nailed it when saying that it's arithmetic

The recursive way to write this is to say

$a_1 = 6$
$a_n = a_{n-1} - 5$

which tells us "start at 6 and each time subtract off 5"

The $a_n$ portion is the nth term while $a_{n-1}$ is the term just before the nth term