Question

Please Solve, Brainliest Foer 40 points
(2z−3) /5 − (z−6)/4 =3

Answer 1

Answer:

z = 14

Step-by-step explanation:

Step 1: Write equation

(2z - 3)/5 - (z - 6)/4 = 3

Step 2: Solve for z

1. Multiply both sides by 20: 4(2z - 3) - 5(z - 6) = 60
2. Distribute: 8z - 12 - 5z + 30 = 60
3. Combine like terms: 3z + 18 = 60
4. Subtract 18 on both sides: 3z = 42
5. Divide both sides by 3: z = 14

Step 3: Check

Plug in z to verify it's a solution.

(2(14) - 3)/5 - (14 - 6)/4 = 3

(28 - 3)/5 - 8/4 = 3

25/5 - 2 = 3

5 - 2 = 3

3 = 3

Answer 2

Hi there!

Answer:

$\boxed{z = 14}$

Step-by-step explanation:

$(2z - 3) \div 5 - (z - 6) \div 4 = 3$

Ok this should be easy, lol!

⇒First you going to simplify both sides of the equation.

$\frac{2z - 3 }{5} - (\frac{z - 6}{4}) = 3$

$\frac{2}{5}z + \frac{-3}{5} + \frac{-1}{4}z + \frac{3}{2} = 3$       ⇒Then Distribute.

     -     ⇅⇅     -

⇒Now combine like terms.

$( \frac{2}{5}z + \frac{-1}{4}z) + (\frac{-3}{5} + \frac{3}{2}) = 3$

$\frac{3}{20}z + \frac{9}{10} = 3$

⇒Second you're gonna subtract 9/10 from both sides.

$\frac{3}{20}z + \frac{9}{10} - \frac{9}{10} = 3 - \frac{9}{10}$

$\frac{3}{20}z = \frac{21}{10}$

⇒Now, for the last step, multiply both sides by 20/3.

$(\frac{20}{3}) * (\frac{3}{20}z) = (\frac{20}{3} ) * (\frac{21}{10})$

Now you understand why z = 14!

Have a good day/night!