Question

Solve graphically: $5x-6y+30=0$; $5x+4y-20=0$. Also, find the vertices of the triangle formed by the above two lines and $x$-axis.

• A. $(3,5),(4,2),(6,9)$
• B. $(0,5),(-6,0),(4,0)$
• C. $(0,2),(7,2),(0,4)$
• D. $(2,3),(1,7),(3,9)$

Answer 1

Answer: (B)

$(0,5),(-6,0),(4,0)$

For $5x-6y+30=0$:

x	0	-6	6
y	5	0	10

For $x-y-1=0$:

x	0	4	-4
y	5	0	10

As the graph shows, vertices of triangle are $(0,5),(-6,0)\&(4,0)$.