Question

2y-x=8, 5y-x=14, y-2x=8 solve graphicallyand obtain the vertices of triangle so obtained

Answer 1

2x + 5y = 12

We have,

x + y = 3

When y = 0 we have x =3

When x= 0 we have y =3

Thus we have the following table giving points on the line x+y =3



X 0 3
Y 3 0


Now, 2+5y= 12

= y = \(\frac{12-2x}{5}\)

When x= 1, we have

= y = \(\frac{12-2(1)}{5}\) = 4

Thus we have the following table giving points on the line 2x+5y=12



X 1 -4
Y 2 4


Graph of the equation x+y =3 and 2x+5y=12 is







Clearly two lines intersect at a point P (1,2)

Hence x= 1 and y = 2