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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

The balanced scale represents the equation: 3x + 1 = x + 3 If one x block is subtracted-example-1
User IonFish
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2 Answers

7 votes

Answer:

x=2 is correct

Explanation:

User Nico Dumdum
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3 votes

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.

User Zawhtut
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