(5y-1)/2=7

Jasonbradley

2 min read Jun 16, 2024

Solving the Equation (5y-1)/2 = 7

This article will guide you through the steps of solving the linear equation (5y-1)/2 = 7.

Understanding the Equation

The equation (5y-1)/2 = 7 represents a problem where we need to find the value of 'y' that makes the equation true.

Solving for 'y'

Multiply both sides by 2: This eliminates the denominator on the left side of the equation. (5y-1)/2 * 2 = 7 * 2 5y - 1 = 14
Add 1 to both sides: This isolates the term containing 'y'. 5y - 1 + 1 = 14 + 1 5y = 15
Divide both sides by 5: This isolates 'y' and provides its value. 5y/5 = 15/5 y = 3

Verification

To verify our solution, we can substitute 'y = 3' back into the original equation:

(5 * 3 - 1)/2 = 7 (15 - 1)/2 = 7 14/2 = 7 7 = 7

Since the equation holds true, our solution y = 3 is correct.

Conclusion

By following the steps of simplifying the equation and isolating 'y', we successfully solved the equation (5y-1)/2 = 7. The solution, y = 3, satisfies the original equation.