Final answer:
To solve the equation (n-7)/9=6/4, cross-multiply and then solve for 'n', leading to the solution n = 20.5. It is important to check this solution by substituting it back into the original equation.
Step-by-step explanation:
To solve the equation (n-7)/(9)=(6)/(4), you need to find the value of 'n' that makes the equation true. Start by cross-multiplying to get rid of the fractions:
- 4(n - 7) = 6 × 9
- 4n - 28 = 54
Now solve for 'n' by adding 28 to both sides of the equation and then divide by 4:
- 4n = 54 + 28
- 4n = 82
- n = 82 / 4
- n = 20.5
So, the solution to the equation is n = 20.5. It's always good to check the solution by plugging it back into the original equation to ensure it makes both sides equal.