solve for c :
5c/6 + 1/2 = c/4
Please help, thanks :)
multiply each term by 12 , the LCD
10c + 6 = 3c
7c = -6
c = -6/7
oh that's what i was trying to do but then I really needed help. Thank you so much! :)
To solve for c in the equation (5c/6) + (1/2) = c/4, you need to isolate the variable c on one side of the equation. Here's the step-by-step process:
1. Start by getting rid of any fractions in the equation. Multiply every term by the least common multiple (LCM) of the denominators, which in this case is 12.
Multiply (5c/6) by 12: (5c/6) * 12 = 10c
Multiply (1/2) by 12: (1/2) * 12 = 6
The equation becomes: 10c + 6 = (c/4) * 12
2. Simplify the equation further by distributing (c/4) to 12. This means multiplying the fraction by 12:
(c/4) * 12 = (c * 12) / 4 = 3c
Now the equation becomes: 10c + 6 = 3c
3. Next, move all the terms with c to one side of the equation by subtracting 3c from both sides:
10c - 3c + 6 = 3c - 3c
7c + 6 = 0
4. Finally, solve for c by isolating the c term. To do this, subtract 6 from both sides of the equation:
7c + 6 - 6 = 0 - 6
7c = -6
5. Divide both sides of the equation by 7 to solve for c:
(7c)/7 = -6/7
c = -6/7
So, the solution to the equation is c = -6/7.