1/4c + 2 = 3/4
c=?
1/4c + 2 = 3/4
1/4c = -2 + 3/4
1/4c = -1 1/4
c = (-1 1/4) / (1/4)
x = (-5/4) * 4
x = -20/4
x = -5
To solve for c in the equation 1/4c + 2 = 3/4, we need to isolate the variable c. Let's go through the steps to find the solution.
Step 1: Subtract 2 from both sides of the equation:
1/4c + 2 - 2 = 3/4 - 2
Simplifying, we have:
1/4c = 3/4 - 8/4
Step 2: Combine the fractions on the right-hand side:
1/4c = -5/4
Step 3: To get rid of the fraction on the left-hand side, multiply both sides of the equation by the reciprocal of 1/4, which is 4/1 (or simply 4):
(4/1)(1/4c) = (4/1)(-5/4)
Simplifying, we get:
c = -20/4 = -5
Therefore, the value of c is -5.