Question

solve the equation $12x + 6y = 24$ for $x$.\
\
a. $x = 2 - \frac{1}{2}y$\
\
b. $x = 12(24 - 6y)$\
\
c. $x = \frac{1}{2}y + 2$\
\
d. $x = 24 - 6y$

Explanation:

Step1: Isolate the term with x

Subtract \(6y\) from both sides of the equation \(12x + 6y = 24\).
\(12x + 6y - 6y = 24 - 6y\)
Simplifying gives \(12x = 24 - 6y\).

Step2: Solve for x

Divide both sides of the equation \(12x = 24 - 6y\) by 12.
\(x=\frac{24 - 6y}{12}\)
We can split the fraction: \(x=\frac{24}{12}-\frac{6y}{12}\)
Simplifying the fractions, we get \(x = 2-\frac{1}{2}y\).

Answer:

A. \(x = 2-\frac{1}{2}y\)