Question

To plot the graphs of the following equations:
Equation 1: $3x+2y=1$
Equation 2: $y-2x=2$
Fill in the values of p, q, r, and s in the given tables.
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:

When x = 0, 2y = 1 $\Rightarrow$ y = $\frac{1}{2}$

When x = 5, 2y = -14 $\Rightarrow$ y = - 7

$\begin{array}{ccc}x& 0& 5\\ y& \frac{1}{2}& -7\end{array}$
Equation 2:

When y = 0, -2x = 2 $\Rightarrow$ x = - 1

When y = 5, -2x = -3 $\Rightarrow$ x = $\frac{3}{2}$

$\begin{array}{ccc}x& -1& \frac{3}{2}\\ y& 0& 5\end{array}$