Question

Which statement is true about the equation fraction 4 over 5z = fraction 1 over 5z - 4 6?

1) It has no solution.
2) It has one solution.
3) It has two solutions.
4) It has infinitely many solutions.

Answer 1

The statement is true about the equation 4/5z = 1/5z - 4 6 is that it has one solution, which is z = -3/20.

Step-by-step explanation:

The equation is 4/5z = 1/5z - 4 6. To solve this equation, we can start by multiplying both sides of the equation by the common denominator, which is 5z. This will eliminate the denominators. After simplifying, we get 4 = 1 - 20z. Next, we can isolate the variable by subtracting 1 from both sides, resulting in 3 = -20z. Finally, we can solve for z by dividing both sides by -20, giving us z = -3/20.