Question

2,3z+4 1/2- 1 4/5z+z=25

Answer 1

2,3z+4 1/2- 1 4/5z+z=25

2,3z -1.8z+z=25 - 4.5

1.5z = 20.5

z= 20.5 : 1.5

z = 205 : 15

z = 13_10/15 = 13_2/3

Answer 2

Let's solve the equation step by step:

1. First, combine like terms on the left side of the equation: 2z + (3z + z) + 4 1/2 - 1 4/5z = 25

   Simplify the terms with 'z': 2z + 3z + z = 6z

   Now, the equation becomes: 6z + 4 1/2 - 1 4/5z = 25

2. Next, let's simplify the constant terms: 4 1/2 can be written as 9/2 1 4/5z can be written as 9/5z

   The equation becomes: 6z + 9/2 - 9/5z = 25

3. To continue, let's get rid of the fractions by finding a common denominator, which is 10: Multiply the entire equation by 10: 10 * (6z + 9/2) - 10 * (9/5z) = 10 * 25

   Simplify: 60z + 45 - 18z = 250

4. Now, combine like terms on the left side of the equation: 60z - 18z + 45 = 250

   Simplify: 42z + 45 = 250

5. To isolate the variable 'z', we'll move the constant term to the other side of the equation: 42z = 250 - 45

   Simplify: 42z = 205

6. Finally, solve for 'z' by dividing both sides by 42: z = 205 / 42

   Simplify: z ≈ 4.88095

So, the solution to the equation is approximately z ≈ 4.88095.