Q10 of 244 Page 124

Show that the system of equations

2x – 3y = 5, 6x – 9y = 15

Given: 2x – 3y = 5 – eq 1


6x – 9y = 15 – eq 2


Here,


a1 = 2, b1 = - 3, c1 = 5


a2 = 6, b2 = - 9, c2 = 15


Here,


= =


= =


= =


Here,


= =


∴ The given system of equations has infinite number of solutions.


More from this chapter

All 244 →
8

Find the value of k for which each of the following systems of equations has a unique solution:

4x – 5y = k, 2x – 3y = 12.

 9

Find the value of k for which each of the following systems of equations has a unique solution:

kx + 3y = (k – 3), 12x + ky = k.

 11

Show that the system of equations

6x + 5y = 11, 9x + y = 21

 12

For what value of k does the system of equations

kx + 2y = 5, 3x – 4y = 10


have (i) a unique solution, (ii) no solution?