Solving Equations by using multiplication and division?

Question

1. h/3=-2

2. 1/8m=6

3. 1/5p=3/5

4. 5=y/12

5. -1/4k=-2.5

6. -m/8=5/8

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and i need help with linear functions and putting them in standard form

1. 2x=4y

2. 6+y=8

3. 4x-2y=-1

4. 3xy+8=4y

5. 3x-4=12

6. y=x^2 +7

7. y-4x=9

8. x+8=0

9. -2x+3=4y

Answer 1

All these questions can be solved if you know a single concept: "what you do to one side, you've to do to the other side."

E.g. -m/8=5/8

Times 8 to both sides: -m = 5

Times -1 to both sides: m = -5

Answer 2

1. h/3 = - 2

h = - 6

2. 1/8m = 6

m = 48

3. 1/5p = 3/5

p = 3/5(5)

p = 3

4. 5 = y/12

y = 60

5. - 1/4k = - 2.5

k = 10

6. - m/8 = 5/8

m = - 5

1. 2x = 4y

y = 1/2x

2. 6 + y = 8

y = 2

3. 4x - 2y = - 1

2y = 4x + 1

y = 2x + 1/2

4. 3xy + 8 = 4y

3xy - 4y = - 8

y(3x - 4) = - 8

y = - 8/(3x - 4)

5. 3x - 4 = 12

3x = 16

x = 16/3

6. y = x² + 7

7. y - 4x = 9

y  = 4x + 9

8. x + 8 = 0

x = - 8

9. - 2x + 3 = 4y

y = - 1/2x + 3/4