Question

For the equation, $x+3y=5$, $x$ in terms of $y$ can be written as____ and $y$ in terms of $x$ can be written as ______.

• A. $x=5+y,y=5-3x$
• B. $x=5–3y,y=\frac{(5-x)}{3}$
• C. $x=5+3y,y=5+3x$
• D. $x=5+3y,y=\frac{(5+x)}{3}$

Answer 1

The correct option is B

$x=5–3y,y=\frac{(5-x)}{3}$

Given equation is $x+3y=5$.

$\Rightarrow x=5–3y$ (By transposing 3y to RHS)

Again, $x+3y=5$

$\Rightarrow 3y=5-x$ (By transposing x to RHS)

$\Rightarrow y=\frac{(5-x)}{3}$