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

Ay= x-5
By= x+5
Cy= 5-x <---
Dy= -6 - x
  1. Solve the absolute value equation.

|2x-1|=3

a)x=2 or x=-1

b)x=1 or x=2 <---

c)x=1 or x=-1

d)x=1 or x=4

  1. what is the solution to the compound inequality?

2< 3x-1 less than or equal to 5

A1

b)3< x less than or equal to 6

c)1< x less than or equal to 3 <--

d)1/3

Verified Answer :

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

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.