Question

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

Answer 1

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.