Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

solve the equation $3x + 5y = 16$ for $y$.\ \ a. $y = 5(16 - 3x)$\ \ b.…

Question

solve the equation $3x + 5y = 16$ for $y$.\
\
a. $y = 5(16 - 3x)$\
\
b. $y = 16 - 3x$\
\
c. $y = \frac{3x}{5} - \frac{16}{5}$\
\
d. $y = \frac{16}{5} - \frac{3x}{5}$

Explanation:

Step1: Isolate the y-term

Subtract $3x$ from both sides:
$5y = 16 - 3x$

Step2: Solve for y

Divide all terms by 5:
$y = \frac{16}{5} - \frac{3x}{5}$

Answer:

D. $y = \frac{16}{5} - \frac{3x}{5}$