Question

For what value of P will the following pair os linear equations have infinitely many solutions ( p-3)x +3y =P px +py=12

Answer 1

Answer:

Step-by-step explanation:

(p-3)x +3y =p

px +py =12

Now for infinitely many solutions,

a1/a2 =b1/b2 = c1/c2

Thus, p-3/p = 3/p = p/12

So 3p=p^2 -3p & p^2=36

= p^2= 6p and p= root36

So, p=6 and p=6 or (-6)

6 satisfies both equations thus p=6

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