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ra1l
2 months ago
10

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

Mathematics
1 answer:
PIT_PIT [12.4K]2 months ago
6 0

Given:

The balanced scale is represented by the equation

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

Our task is to find the method that balances this scale.

Balancing method:

By removing one x block from the right side and three numbered blocks from the left side.

This changes equation (1) to

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

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

Next, to balance the scale, we subtract one x block from the left side and three numbered blocks from the right side.

Thus, equation (2) shifts to

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

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

Equation (3) is equivalent to equation (1).

Hence, the method needed to balance the scale is to take away one x block from the left and three numbered blocks from the right.

Consequently, Option B is the correct choice.

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