Question

Solve this proportion c-1/c+2=4/7

Answer 1

c = 5

Explanation:

Order of Operations: BPEMDAS

Step 1: Define

`(c-1)/(c+2) =(4)/(7)`

Step 2: Solve for c

1. Cross multiply:
   `7(c-1)=4(c+2)`
2. Distribute:
   `7c-7=4c+8`
3. Subtract 4c on both sides:
   `3c-7=8`
4. Add 7 to both sides:
   `3c=15`
5. Divide both sides by 3:
   `c=5`

Step 3: Check

Plug in c to verify it's a solution.

`(5-1)/(5+2) =(4)/(7)`

`(4)/(7) =(4)/(7)`