Question

You have been asked to plot graphs of the following equations:
Equation 1: $3x+2y=1$
Equation 2: $y-2x=2$
Fill the following tables (find p, q, r, s) which you will use to plot the graphs:
Equation 1:
$\begin{array}{ccc}x& 0& 5\\ y& p& q\end{array}$
Equation 2:
$\begin{array}{ccc}x& r& s\\ y& 0& 5\end{array}$

• A. $p=\frac{1}{2},q=-7,r=-1,s=\frac{3}{2}$
• B. $p=2,q=7,r=2,s=3$
• C. $p=3,q=\frac{1}{2},r=\frac{2}{3},s=0$
• D. $p=3,q=5,r=2,s=8$

Answer 1

The correct option is A

$p=\frac{1}{2},q=-7,r=-1,s=\frac{3}{2}$

Put the given values of x and y in the respective equations and find the corresponding unknown values.
Equation 1:
$\begin{array}{ccc}x& 0& 5\\ y& \frac{1}{2}& -7\end{array}$
Equation 2:
$\begin{array}{ccc}x& -1& \frac{3}{2}\\ y& 0& 5\end{array}$