change the subject of the formula
make x the Subject of the formula
y = 1/2 x + 1
-1 from both sides
y-1=1/2 x
÷ by 1/2 from both sides
y-1 over a 1/2 = x
y-1
_______
(1/2)
is the same as
2(y-1) /1
or
2y-2
To change the subject of the formula and make "x" the subject in the equation "y = 1/2 x + 1", follow these steps:
1. Begin with the original equation: y = 1/2 x + 1
2. Subtract 1 from both sides of the equation to isolate the term with "x": y - 1 = 1/2 x
3. Now, we want to get rid of the "1/2" coefficient that is multiplied by x. To do this, divide both sides of the equation by 1/2: (y - 1) / (1/2) = x
4. Simplify the right side of the equation by multiplying the numerator and denominator of the fraction by the reciprocal of 1/2, which is 2/1: (y - 1) / (1/2) = 2(y - 1) = 2x
5. Finally, swap the positions of the variables to make "x" the subject of the formula: x = 2(y - 1)
Now, the equation has been rearranged, and "x" is the subject of the formula.