Question

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

Answer 1

Answer:

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

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

Step-by-step 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.

$\frac{4x}{4} =\frac{3}{4}$

$x =\frac{3}{4}$

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.

$x= \frac{3}{4}$

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

Answer 2

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