Answer:
c = 5
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Define
[tex]\frac{c-1}{c+2} =\frac{4}{7}[/tex]
Step 2: Solve for c
- Cross multiply: [tex]7(c-1)=4(c+2)[/tex]
- Distribute: [tex]7c-7=4c+8[/tex]
- Subtract 4c on both sides: [tex]3c-7=8[/tex]
- Add 7 to both sides: [tex]3c=15[/tex]
- Divide both sides by 3: [tex]c=5[/tex]
Step 3: Check
Plug in c to verify it's a solution.
[tex]\frac{5-1}{5+2} =\frac{4}{7}[/tex]
[tex]\frac{4}{7} =\frac{4}{7}[/tex]
