Algebra 1-2 help?

5h=1/8-3/4

5h=1/8-6/8

5h=-5/8

h=-1/8

6g-7/10=-1/5

6g=-1/5+7/10

6g=-2/10+7/10

6g=5/10

6g=1/2

g=1/12

3/4 + 5h = 1/8

Subtract both sides by 3/4.

5h = -5/8

Divide both sides by 5.

h = -1/8

To check, plug in -1/8 for h in the original equation.

3/4 + 5h = 1/8

3/4 + 5(-1/8) = 1/8

3/4 - 5/8 = 1/8

1/8 = 1/8

So h does equal -1/8.

6g - 7/10 = -1/5

Add 7/10 to both sides.

6g = 1/2

Divide both sides by 6.

g = 1/12

Check by replacing g with 1/12 in the original equation.

6g - 7/10 = -1/5

6(1/12) - 7/10 = -1/5

1/2 - 7/10 = -1/5

-1/5 = -1/5

So g = 1/12 is correct.

Hope this helps!

Question 1

6 + 40h = 1

40h = - 5

h = - 5 / 40

h = - 1 / 8

Perhaps question SHOULD read as:-

3 / (4 + 5h) = 1 / 8

24 = 4 + 5h

5h = 20

h = 4

Question 2

6g - (7 / 10) = - 1 / 5 is question as given.

6g = 5 / 10

g = 5 / 60

g = 1 / 12

Tip

Use brackets to avoid misunderstanding of questions.

3/4 + 5h = 1/8

5h = 1/8 - 6/8

5h = -5/8

h = -1/8

6g - 7/10 = -1/5

6g - 7 = -10/5

6g - 7 = -2

6g = 5

g = 5/6