To make [tex]\( a \)[/tex] the subject of the equation [tex]\( a - 3c = b \)[/tex], follow these steps:
1. Write down the original equation:
[tex]\[
a - 3c = b
\][/tex]
2. Isolate [tex]\( a \)[/tex]:
To do this, you need to get [tex]\( a \)[/tex] by itself on one side of the equation. You can achieve this by undoing the subtraction of [tex]\( 3c \)[/tex].
3. Add [tex]\( 3c \)[/tex] to both sides of the equation:
By adding [tex]\( 3c \)[/tex] to both sides, you eliminate [tex]\( -3c \)[/tex] on the left-hand side:
[tex]\[
a - 3c + 3c = b + 3c
\][/tex]
4. Simplify both sides:
On the left-hand side, [tex]\( -3c + 3c \)[/tex] cancels each other out, leaving you with:
[tex]\[
a = b + 3c
\][/tex]
5. Final result:
Now [tex]\( a \)[/tex] is isolated, and you have successfully made [tex]\( a \)[/tex] the subject of the equation:
[tex]\[
a = b + 3c
\][/tex]
This is the final form of the equation with [tex]\( a \)[/tex] as the subject.
