Can you please see if you got the same answer as I did? Thank you.
3/x + 2/x-4
3x-12=2x
subtract 3x from both sides you get -12=-1x divide by -1 final answer is 12.
yes, the solution to 3x-12=2x
is x = 12
but ...
how did 3/x + 2/x-4
magically turn into the equation
3x-12=2x ????
I multiplied each fraction by (x)(x-4)
you must have had
3/x = 2(x-4)
cross-multiplying would have given you
3x - 12 = 2x
ok, looks like a simple typo.
3/x+ 2/x-4 = 3(x-4)+ 2(x)=0
3x-12+2x=0
3x+2x=12
5x=12
x=12-5
x=7
or only if you cross multiply the 3*x-4 which is 3x-12 and put it equal to 2*x which is 2x that could work.
Sure! Let's solve the equation step by step to verify if we get the same answer.
The equation you provided is:
3/x + 2/(x-4)
To combine the fractions, we need a common denominator. The common denominator for these two fractions is (x)(x-4). So, we multiply both the numerators and denominators accordingly:
[3(x-4) + 2x] / [(x)(x-4)]
Simplifying the numerator gives us:
(3x - 12 + 2x) / [(x)(x-4)]
Combining like terms in the numerator yields:
(5x - 12) / [(x)(x-4)]
Now, let's check if we can solve the equation. However, it seems you mistook the equation for an equation that can be solved for x. The given expression is not an equation but rather an expression that simplifies to a rational expression with no equals sign.
Therefore, we cannot solve for x, and there is no specific value of x that will make the expression equal to 12.
Please note that it's important to double-check your work and equations in order to prevent any errors.