Question

an equation (-x + 3y = 12) is given.
(1) express (y) in terms of (x). which of the following is right?
a. (y = 12 + x)
b. (y = 12 - x)
c. (y = \frac{1}{3}x - 4)
d. (y = \frac{1}{3}x + 4)
(2) when (x = 3), what is the value of (y)?
a. 3
b. 4

Explanation:

Step1: Isolate the y-term

$-x + 3y = 12 \implies 3y = x + 12$

Step2: Solve for y

$y = \frac{x + 12}{3} = \frac{1}{3}x + 4$

Step3: Substitute x=3 into y

$y = \frac{1}{3}(3) + 4$

Step4: Calculate the value of y

$y = 1 + 4 = 5$

Answer:

(1) D. $y = \frac{1}{3}x + 4$
(2) 5