Question

Solve (2)/(5)=(6)/(c)-2 and Simplify

Answer 1

To solve the equation (2/5) = (6/c) - 2, we need to isolate the variable, c. The solution to the equation is c = 5/2.

Step-by-step explanation:

To solve the equation (2/5) = (6/c) - 2, we need to isolate the variable, c.

Step 1: Simplify the right side of the equation: (6/c) - 2 = (6 - 2c) / c

Step 2: Set the equation equal to the left side: 2/5 = (6 - 2c) / c

Step 3: Cross-multiply: 2c = 5(6 - 2c)

Step 4: Distribute and combine like terms: 2c = 30 - 10c

Step 5: Get all terms with c on one side: 2c + 10c = 30

Step 6: Combine like terms: 12c = 30

Step 7: Solve for c by dividing both sides by 12: c = 30/12 = 5/2

So, the solution to the equation is c = 5/2.