Question

For what value of p the pair of equations 2x+py=-5 and 3x+3y=-6 has a unique solution

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 = 12−2x5

When x= 1, we have

= y = 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

1

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

Hence x= 1 and y = 2

Answer 2

The correct value of x is 1 and for y is 2

Thanks