Question

1/2 (5-2h) = h/2, solve for h

Answer 1

Answer:

h = 1 2/3

Step-by-step explanation:

1/2 (5-2h) = h/2

Multiply each side by 2

(5-2h) = h

Add 2h to each side

(5-2h +2h) = h+2h

5 = 3h

Divide by 3

5/3 = 3h/3

5/3 =h

1 2/3 = h

Check

1/2 (5-2*5/3) = 5/3/2

1/2 ( 5 - 10/3) = 5/6

1/2 ( 15/3 - 10/3) = 5/6

1/2 ( 5/3) = 5/6

5/6 = 5/6

Answer 2

Answer:

A

Step-by-step explanation:

So we have the equation:

$\frac{1}{2}(5-2h)=\frac{h}{2}$

First, let's multiply both sides by 2 to get rid of the fractions. The 2s will cancel. So:

$2(\frac{1}{2}(5-2h))=2(\frac{h}{2})$

Simplify:

$5-2h=h$

Add 2h to both sides:

$5=3h$

Divide both sides by 3:

$h=5/3$

Change into mixed fractions:

$h=1\frac{2}{3}$

So, our answer is A.

And we're done!

To check, substitute 5/3 back in:

$\frac{1}{2}(5-2(5/3))=\frac{(5/3)}{2}$

Multiply and divide:

$\frac{1}{2}(5-10/3)=\frac{5}{6}$

Subtract on the left:

$\frac{1}{2}(5/3)=\frac{5}{6}$

Multiply:

$\frac{5}{6}\stackrel{\checkmark}{=}\frac{5}{6}$

So, our answer is correct!