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The balanced scale represents the equation: 3x + 1 = 2x + 4

If two x blocks are subtracted from the right side and one numbered block is subtracted from the left side. What process will balance the scale?

A)subtract two x blocks from the left side and subtract one numbered block from the left side
B)subtract two x block from the left side and subtract one numbered block from the right side
C)subtract two x blocks from the right side and subtract one numbered block from the left side
D)subtract two x block from the right side and subtract one numbered block from the right side

The Balanced Scale Represents The Equation 3x 1 2x 4 If Two X Blocks Are Subtracted From The Right Side And One Numbered Block Is Subtracted From The Left Side class=

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Answer:

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.

[tex]\\ \sf\longmapsto 3x+1=2x+4[/tex]

[tex]\\ \sf\longmapsto 3x+1-2x=2x+4-x[/tex]

[tex]\\ \sf\longmapsto x+1=x+4[/tex]

Balance further

[tex]\\ \sf\longmapsto x-x=4-1[/tex]

[tex]\\ \sf\longmapsto 0=3[/tex]

  • So the sum will be 2,1

2 from left 1 from right

Option B is correct

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