Im having a stupid moment and i cant figure this out-
x-1 x-2
--- + ---= 1
2 3
assume the ---- is a division bar
multiply by six
3(x-1)+2(x-2)=6
5x-7=6
5x=13
x= 13/5
Thanks a bunch!
No worries! We can solve this equation together. Let's simplify the equation first:
(x-1)/2 + (x-2)/3 = 1
To get rid of the fractions, we need to find a common denominator for 2 and 3, which is 6. To do this, we multiply the numerator and denominator of the first fraction by 3, and the numerator and denominator of the second fraction by 2:
(3/3)*(x-1)/2 + (2/2)*(x-2)/3 = 1
Simplifying further:
(3x-3)/6 + (2x-4)/6 = 1
Now, we can combine the like terms in the equation:
(3x + 2x - 3 - 4)/6 = 1
(5x - 7)/6 = 1
Next, we can eliminate the fraction by multiplying both sides of the equation by 6:
6 * (5x - 7)/6 = 1 * 6
Simplifying further:
5x - 7 = 6
Now, let's solve for x by isolating the variable:
Adding 7 to both sides of the equation:
5x - 7 + 7 = 6 + 7
Simplifying further:
5x = 13
Finally, we can solve for x by dividing both sides of the equation by 5:
(5x)/5 = 13/5
Simplifying further:
x = 13/5
Therefore, the solution to the equation is x = 13/5.