Question

For which values of p does the pair of equations given below has unique solution? 4x+py+8=0 , 2x+2y+2=0

Answer 1

Given, 4x+py+8=0, a = 4, b = p, c = 8 ---------- (1)

           2x+2y+2=0, a = 2, b = 2, c = 2 ---------- (2)

Given, Equation has unique number of solutions,

             a1/a2 not equal to b1/b2

             4/2 not equal to p/2
 
             p not equal to 4/2

               p not equal to 4.

All values of p except 4 will have a unique solution.



Hope this helps!