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

Given:

The given balanced scale is represented by the equation

----- (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

        ----- (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,

        ------ (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.

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

c

step-by-step explanation: