Q10 of 71 Page 68

If the pair of linear equations ax + 2y = 7 and 2x + 3y = 8 has a unique solution, then a ≠ ………….

Given: ax + 2y = 7 and 2x + 3y = 8


Change the given equations to the form,


a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 …(i)


⇒ ax + 2y – 7 = 0


And


2x + 3y – 8 = 0


On comparing with (i) we get,


a1 = a,


b1 = 2,


c1 = – 7;


a2 = 2,


b2 = 3,


c2 = – 8;



For unique solution,





More from this chapter

All 71 →
10

To eliminate x, from 3x + y = 7 and —x + 2y = 2 second equation is multiplied by

 10

If 2x + 3y = 7 and 3x + 2y = 3, then x — y =

 10

The pair of linear equations 2x + y — 3 = 0 and 6x + 3y = 9 has

 10

If in a two digit number, the digit at unit place is x and the digit at tens place is 5, then the number is