Question

Write four solutions for the following equation.

$\pi x+y=9$

• A. the four solutions of the given equations are: $(0,9),(\frac{2}{\pi },0),(1,9-\pi ),(2,4-2\pi )$
• B. the four solutions of the given equations are: $(0,9),(\frac{4}{\pi },0),(1,9-\pi ),(2,3-2\pi )$
• C. the four solutions of the given equations are: $(0,9),(\frac{9}{\pi },0),(1,9-\pi ),(2,9-2\pi )$
• D. the four solutions of the given equations are: $(0,9),(\frac{7}{\pi },0),(1,9-\pi ),(2,1-2\pi )$

Answer 1

Answer: (C)

the four solutions of the given equations are: $(0,9),(\frac{9}{\pi },0),(1,9-\pi ),(2,9-2\pi )$

Given, $\pi x+y=9$
$a)$ Put $x=0$, we have
$\pi \left(0\right)+y=9⟹y=9$

$b)$ Put $y=0$, we have
$\pi x+0=9⟹\pi x=9⟹x=\frac{9}{\pi }$

$c)$ Put $x=1$, we have
$\pi x+y=9⟹\pi \left(1\right)+y=9⟹y=9-\pi$

$d)$ Put $x=2$, we have
$\pi x+y=9⟹\pi \left(2\right)+y=9⟹y=9-2\pi$
Hence, the four solutions of the given equations are: $(0,9),(\frac{9}{\pi },0),(1,9-\pi ),(2,9-2\pi )$