Question

Easy variable question pls help

Answer 1

Answer:

z = -4 1/2

Step-by-step explanation:

1. First change the mixed fractions to improper fractions so it's easier

$\frac{16}{5\\}/(z-\frac{1}{2}) = \frac{8}{3}/(z+\frac{1}{3})$

2. Simplify

$\frac{32}{5(2z-1)} = \frac{8}{3z+1}$

3. Cross multiply

$32(3z+1) = 5(2z-1) * 8$

4. Simplify again (distributive property)

$32(3z+1) = 40(2z-1)$

5. Distributive property

$32(3z+1) -> 96z+32$  

$40(2z-1) -> 80z-40$

$96z+32=80z-40$

6. Subtract 32 from both sides

$96z+32-32 = 80z-40-32$

7. Simplify

$96z = 80z-72$

8. Subtract 80 from both sides

$96z-80z=80z-72-80z$

9. Simplify

$16z=-72$

10. Divide both sides by 16

$\frac{16z}{16}=\frac{-72}{16}$

11. Simplify

$z=-\frac{9}{2} -> also = -4\frac{1}{2}$

Sorry if it was too long but hope this helps! :)

And also try using symbolab cuz it gives step by step explanations it's really good!