To isolate the variable [tex]\( q \)[/tex] in the equation [tex]\( M = q + 3p \)[/tex], follow these steps:
1. Start with the original equation:
[tex]\[
M = q + 3p
\][/tex]
2. To isolate [tex]\( q \)[/tex], we need to get [tex]\( q \)[/tex] by itself on one side of the equation. To do this, subtract [tex]\( 3p \)[/tex] from both sides of the equation. This helps us move the term [tex]\( 3p \)[/tex] to the left side:
[tex]\[
M - 3p = q
\][/tex]
3. This simplifies to:
[tex]\[
q = M - 3p
\][/tex]
Now, let's compare this with the choices provided:
a. [tex]\( q = \frac{M}{3p} \)[/tex]
b. [tex]\( q = 3Mp \)[/tex]
c. [tex]\( q = M - 3p \)[/tex]
d. [tex]\( q = M + 3p \)[/tex]
The correct answer is choice [tex]\( c \)[/tex]:
[tex]\[
q = M - 3p
\][/tex]
