Linear Equations in Two Variables Test - 9

Let the cost of note book is Rs x and pen is Rs y

and we have given that The cost of a note book is twice the cost of a pen

So we have

x = 2y

x - 2y = 0

let force applied be y and accleration produced be x

The force applied on a body is directly proportional to the acceleration produced on it.

yαx

y = kx

where k is proportionality constant

at  y axis  the value of x co-ordinate is 0 

y-axis at a distance of 3 units in the negative direction so the co-ordinate of y-axis is -3

so the co-ordinate of point is (0,-3)

at  y axis  the value of x co-ordinate is 0 

y-axis at a distance of 6 units in the positive direction so the co-ordinate of y-axis is 6

so the co-ordinate of point is (0,6)

at  x axis  the value of y co-ordinate is 0 

x-axis at a distance of 4 units in the negative direction so the co-ordinate of x-axis is - 4

so the co-ordinate of point is (- 4,0)

at  x axis  the value of y co-ordinate is 0 

x-axis at a distance of 3 units in the positive direction so the co-ordinate of x-axis is 3

so the co-ordinate of point is (3,0)

because value of x -co-ordinate is - 2

because value of y -co-ordinate is - 6

If x = 3 and y = -2 satisfies 5x – y = k

then

5x−y=k

5×3−(−2)=k

15+2=k

17=k