Question

alonzo wrote the equation $x = 2 + 4y - 5$.\
which equation is equivalent?\
\
a. $y = \frac{x + 3}{4}$\
\
b. $y = \frac{x - 2}{4} + 5$\
\
c. $y = \frac{x}{4} + 3$\
\
d. $y = \frac{x + 5}{4} - 2$

Explanation:

Step1: Start with the original equation

$x = 2 + 4y - 5$

Step2: Simplify constants on right

$x = 4y - 3$

Step3: Isolate term with y

$x + 3 = 4y$

Step4: Solve for y

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

Answer:

A. $y = \frac{x + 3}{4}$