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
