Question

1.Which is an equivalent form of the equation 3x-3y=15?

Answer 1

1) The given equation is 3x-3y=15

To solve for y we subtract 3x both sides:

3x-3x-3y=-3x+15

-3y=-3x+15

With y term -3 is multiplied .We perform the opposite operation both sides that is divide by -3 both sides we have:

y=x-5

Option A :y=x-5 is the right answer.

2) |2x-1|=3

We can remove the absolute sign by forming equations  taking both the positive and negative signs:

2x-1=3   or                            2x-1=-3

Solving the two equations for x:

2x=3+1            or               2x=-3+1

2x=4 ,x=2.                        2x=-2 , x=-1 .

Option a)x=2 or x=-1 is the right answer.

3)  2< 3x-1 ≤ 5

Adding 1 to all the sides we have:

3<3x≤ 6

Dividing by 3 :

1<x≤ 2.

Answer 2

1.Which is an equivalent form of the equation 3x-3y=15?
3Y =  3x - 15
Y = x - 5

2. Solve the absolute value equation.
|2x-1|=3
2x-1 = 3 : 2x - 1 = -3
2x = 4    : 2x = -2
x = 2      : x = -1