Final answer:
To solve the equation 9z/8 - 7z/10 = 8, we can simplify the denominators and isolate z to find the solution. The equation simplifies to z = 320/17, which is approximately 18.82.
Step-by-step explanation:
This is an equation in one variable, so we should be able to solve for the unknown value. To solve the equation 9z/8 - 7z/10 = 8, we can simplify the denominators by finding the least common multiple of 8 and 10, which is 40. After simplifying, the equation becomes 45z/40 - 28z/40 = 8. Combining like terms, we have 17z/40 = 8. To isolate z, we can multiply both sides by the reciprocal of 17/40, which is 40/17. The equation simplifies to z = 320/17, which is approximately 18.82.