Question

15. Solve graphically 2x – 3y - 6= 0 and 2x + y + 10 = 0. Determine the vertices of triangle by
the lines, representing the above equation and x - axis and x axis ​

Answer 1

$\boxed {\boxed{ { \green{ \bold{ \underline{Verified \: Answer \: }}}}}}$

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

$\bigstar{\underline{\underline{{\sf\ \red{ SOLUTION:-}}}}}$

2x+y=6

⟹y=6−2x

Let, x=1, then y=6−2(1)=4

Similarly, when x=2,y=2

x−2y+2=0

⟹x=2y−2

Let, y=0, then x=2(0)−2=−2

Similarly, when y=2,x=2

Plotting the above points on the graph, we get, the vertices of the traingle, i.e. A(2,3),B(3,0),C(−2,0)

∴ Area of the triangle = 1/2 × 5units × 2units

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬