QUESTION 1 (ONLY ANSWER FOR ALL QUESTIONS) a) 2x/3 =8 (what is x=?) b)3x/2 =6 (what is x=?) QUESTION 2 a)x/3 -2 =6 (what is x=?) b )x/5 +1 = 5 (what is x=?) QUESTION 3 a) 5x/2 +1 =11 (what is x=?) b)2x/7 -3 = 2 (what is x=?)

1 (a) x = 12

1 (b) x = 4

2 (a) x = 24

2 (b) x = 20

3 (a) x = 4

3 (b) x = 17.5

Step-by-step explanation:

1 (a)

2x/3 = 8

2x = 8 × 3

2x = 24

x = 24 ÷ 2

x = 12

1 (b)

3x/2 = 6

3x = 6 × 2

3x = 12

x = 12 ÷ 3

x = 4

2 (a)

x/3 - 2 = 6

x/3 = 6 + 2

x/3 = 8

x = 8 × 3

x = 24

2 (b)

x/5 + 1 = 5

x/5 = 5 - 1

x/5 = 4

x = 4 × 5

x = 20

3 (a)

5x/2 + 1 = 11

5x/2 = 11 - 1

5x/2 = 10

5x = 10 × 2

5x = 20

x = 20 ÷ 5

x = 4

3 (b)

2x/7 - 3 = 2

2x/7 = 2 + 3

2x/7 = 5

2x = 5 × 7

2x = 35

x = 35 ÷ 2

x = 17.5

1 1/4 hours

step-by-step explanation:

2/4 + 2/4 + 1/4 = 5/4 or 1 1/4

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: