change the subject of the formula
make x the Subject of the formula
y = 1/2 x + 1
-2 from both sides
y-2 = 1/2 x
÷ by 1/2 from both sides
y-2/1/2 = x
(1/2) x = y - 1
x = 2 y - 2
To change the subject of the formula and make \( x \) the subject, follow these steps:
1. Start with the equation: \( y = \frac{1}{2}x + 1 \).
2. Subtract 2 from both sides of the equation:
\[ y - 2 = \frac{1}{2}x \].
3. Next, we want to isolate \( x \) by getting rid of the fraction. To do this, we can multiply both sides of the equation by \( \frac{2}{1} \) (also known as multiplying by the reciprocal of the fraction \( \frac{1}{2} \)):
\[ \frac{2}{1} (y - 2) = \frac{2}{1} \times \frac{1}{2}x \].
Simplifying, we have:
\[ 2(y - 2) = x \].
4. Finally, we can write the equation with \( x \) as the subject:
\[ x = 2(y - 2) \].
So, the subject of the formula \( y = \frac{1}{2}x + 1 \) is changed, now \( x \) is the subject, and the new formula is \( x = 2(y - 2) \).