1/2(24-2h)=40

Question

Solve the equation and write a justification for each step. Check the solution.

Answer 1

1/2 (24 - 2h) = 40

 

24 and 2 are both divisible by 2.

12 - h = 40

 

Isolate h by moving the 12 to the other side:

12 - h -12 = 40 - 12

-h = 28

 

Multiply by -1 to turn -h into h:

h = -28

 

Now to check:

(24 - -28*2)/2 = 40

(24 + 56)/2 = 40

80/2 = 40

40 = 40

 

Answer 2

(1/2)(24 - 2h) = 40

 

12 - h = 40

 

h= 12 - 40

 

h = -28

Answer 3

(1/2)(24-2h)=40

(1/2)(24)-(1/2)(2h)=40

12-h=40

12-12-h=40-12

-h=28

h=-28

(1/2)(24-2*[-28])=40

(1/2)(24+56)=40

(1/2)(80)=40

40=40