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.
[tex]1 + 3x = -x + 4[/tex]
Step 1: Add x to the both the side of equation.
[tex]1 + 3x +x = -x+x + 4[/tex]
[tex]1 + 4x = 4[/tex]
Step 2: Subtract 1 to the both the side of equation.
[tex]1 -1+ 4x = 4-1[/tex]
[tex] 4x = 3[/tex]
Now isolate the variable by dividing the coefficient of x.
Step 3: Divide both the sides by 4.
[tex]\frac{4x}{4} =\frac{3}{4}[/tex]
[tex]x =\frac{3}{4}[/tex]
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:
[tex]1 + 3x = -x + 4[/tex]
Step 1: Subtract 1 from both sides.
[tex]1-1 + 3x = -x + 4-1[/tex]
[tex] 3x = -x + 3[/tex]
Step 2: Add x to the both side.
[tex] 3x+x = -x+x + 3[/tex]
[tex] 4x= 3[/tex]
Step 3: Divide both sides by 4.
[tex] x= \frac{3}{4}[/tex]
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
