I have an equation to solve for the value of "c"
5/6 + 3/4 = 1/18 -6c -2/3 +7c +1/9
5/6 + 3/4 = 1/18 -6c -2/3 +7c +1/9
First, we need to find a common denominator for the fractions.
What is the smallest multiple of 6, 4, 18, 3, and 9?
Please post your answer, and if you need more help, please let us know.
The common demonator is 72. I think the answer is c = 150/72 or 2 1/12?
I used 36 as the common denominator and got this answer:
c = 87/36 = 2 15/36
To solve the equation for the value of "c," we need to combine like terms and then isolate the variable on one side of the equation. Let's step through the solution.
First, let's add the like terms on both sides of the equation:
5/6 + 3/4 = 1/18 - 6c - 2/3 + 7c + 1/9
To add fractions, we need a common denominator. The least common denominator for 6, 4, and 18 is 36. So, let's rewrite the equation with a common denominator:
(5/6) * (6/6) + (3/4) * (9/9) = (1/18) * (2/2) - (6c) - (2/3) * (12/12) + (7c) + (1/9)
Simplifying:
30/36 + 27/36 = 2/36 - 6c - 24/36 + 7c + 4/36
Combining like terms:
57/36 = (-20c - 18/36 + 7c)/36 - 6/36
Simplifying further:
57/36 = (-13c - 18)/36 - 6/36
Next, let's subtract (-18/36) - (6/36) to get a single fraction on the right side of the equation:
57/36 = (-13c - 18 - 6)/36
Simplifying the numerator on the right side:
57/36 = (-13c - 24)/36
Now, both sides of the equation have the same denominator, so we can drop the denominators:
57 = -13c - 24
Next, let's isolate the variable "c" by moving the constant term to the right side:
57 + 24 = -13c
Simplifying:
81 = -13c
Finally, divide both sides of the equation by -13 to solve for "c":
81/-13 = c
Simplifying further:
c = -81/13
Therefore, the value of "c" is -81/13.