why does this equaiton equal one?
3/4x+5/6=1/4+4/3x
3/4 x + 5/6 = 1/4 + 4/3 x
3/4 x + 5/6 - 4/3 x = 1/4 + 4/3 x - 4/3 x
3/4 x + 5/6 - 4/3 x = 1/4
3/4 x + 5/6 - 4/3 x - 5/6 = 1/4 - 5/6
3/4 x - 4/3 x = 1/4 - 5/6
Change all the fractions to a common denominator: 12
9/12 x - 16/12 x = 3/12 - 10/12
9/12 x - 16/12 x = 3/12 - 10/12
-7/12 x = -7/12
On the left side of the equation, what can you multiply
by -7/12 to get -7/12 on the right side of the equation?
There is only one number that can be: 1
-7/12 x * (-12/7) = -7/12 * (-12/7)
x = 1