Question

Select steps that could be used to solve the equation 1 + 3x = -x + 4.

add x, subtract 1, divide by 4
add x, subtract 4, divide by 4
subtract 3x, subtract 4, divide by 4
subtract 3x, subtract 4, divide by -4
subtract 1, add x, divide by 4

Answer 1

Can there be more than one answer? I think it could be add x, subtract 1, divide by 4 and/or subtract 1, add x, divide by 4

Answer 2

A) add x, subtract 1, divide by 4.

D) subtract 1, add x, divide by 4 is correct

Explanation:

Consider the provided equation.

`1 + 3x = -x + 4`

Step 1: Add x to the both the side of equation.

`1 + 3x +x = -x+x + 4`

`1 + 4x = 4`

Step 2: Subtract 1 to the both the side of equation.

`1 -1+ 4x = 4-1`

`4x = 3`

Now isolate the variable by dividing the coefficient of x.

Step 3: Divide both the sides by 4.

`(4x)/(4) =(3)/(4)`

`x =(3)/(4)`

Hence, the value of x is 3/4.

Now we need to find the steps to solve the equation.

From the above steps it is clear that the option A) add x, subtract 1, divide by 4 is correct

We can solve the above expression by another way:

`1 + 3x = -x + 4`

Step 1: Subtract 1 from both sides.

`1-1 + 3x = -x + 4-1`

`3x = -x + 3`

Step 2: Add x to the both side.

`3x+x = -x+x + 3`

`4x= 3`

Step 3: Divide both sides by 4.

`x= (3)/(4)`

From the above steps it is clear that the option D) subtract 1, add x, divide by 4 is correct

Hence, the correct option is:

A) add x, subtract 1, divide by 4.

D) subtract 1, add x, divide by 4 is correct