Question

Solve the following pair of equations graphically : $x+y=4,3x-2y=-3$
Shade the region bounded by the lines representing the above equations and x-axis

• A. $x=3,y=2$
• B. $x=1,y=3$
• C. $x=8,y=2$
• D. $x=9,y=2$

Answer 1

The correct option is B $x=1,y=3$

Equation (i) is $x+y=4$

i.e. $y=4-x$ and

$3x-2y=-3$

i.e $y=\frac{(3x+3)}{2}$

The point of intersection from the graphs is $(x,y)=(1,3)$

The required area is a triangle

Ans- Option B.