Question

The balanced scale represents the equation: 3x + 1 = x + 3

If one x block is subtracted from the right side and three numbered blocks are subtracted from the left side. What process will balance the scale?
A) subtract one x block from the left side and subtract three numbered blocks from the left side
B) subtract one x block from the left side and subtract three numbered blocks from the right side
C) subtract one x block from the right side and subtract three numbered blocks from the left side
D) subtract one x block from the right side and subtract three numbered blocks from the right side

Answer 1

x=2 is correct

Explanation:

Answer 2

Given:

The given balanced scale is represented by the equation

`3x+1=x+3` ----- (1)

We need to determine the process that balance the scale.

Process to balance the scale:

Given that the if one x block is subtracted from the right side and three numbered blocks are subtracted from the left side.

Thus, the equation (1) becomes

`(3x+1)-3=(x+3)-x`

`3x-2=3` ----- (2)

Now, to balance the scale, let us subtract one block x from the left side and subtract three numbered blocks from the right side.

Thus, the equation (2) becomes,

`(3x-2)-x=3-3`

`2x-2=0` ------ (3)

Thus, the equation (3) is the same as the equation (1).

Hence, the process required to balance the scale is to subtract one x block from the left side and subtract three numbered blocks from the right side.

Therefore, Option B is the correct answer.