Question

If the equations 6x+py=5 and 3x+4y=2 have no sloutions, then find the value of p

Answer 1

The given equations are 3x+4y = 2 .....1)

                                6x + py = 5 ........2)

 For No Solution, a1/a2 = b1/b2 ≠ c1/c2

                      3/6 = 4/p ≠ 2/5

  As 4/p≠2/5  ⇒ 1/2 = 4/p

                     ⇒ p = 8  So for no solution p should be equal to 8

Answer 2

Given
6x+py=5
3x+4y=2
we know that a1/a2=b1/b2$\neq$ c1/c2
so from equations we get
6/3=p/4$\neq$5/2
6/3=p/4
2=p/4
p=4.2
p=8