Question

for which values of p does the pair of equation given below has unique solution
4x + py + 8 = 0
2x +2y + 2 = 0​

Answer 1

Step-by-step explanation:

4x + py + 8 = 0---(1)

2x + 2y + 2 = 0---(2)

Comparing (1) by a1x+by+c1=0 and (2) by

a2x+b2y+c2=0

we get : a1=4,b1=p,c1=8 and a2=2,b2=2,c2=2

For unique solution a1/a2 is not equal to b1/b2

therefore a1/a2=4/2=1/2

b1/b2=p/2

we get 1/2 is not equal to p/2

by cross multiplying a1/a2 and b1/b2 we get :

1/2=p/2

2=2p

p=1

Therefore p=1