Question

for what value of p will the following pair of linear equations have infinitely many solutions?(p-3)x + 3y =p ;px+py =12​

Answer 1

Answer:

Step-by-step explanation:

Your answer is

The value of p =6

Answer 2

Answer:

p = 6  will make the given pair of linear equations have infinitely many solutions.

Step-by-step explanation:

   Given :  pair of linear equations have infinitely many solutions

(P-3) x + 3y = p  ............(1)

p x + p y = 12  ........(2)

For the general pair of linear equations

We have the condition for infinitely many solutions when,

Comparing with given equations, we have,

Taking first two ratios , we have,

Taking last  two ratios , we have,

Since, p = 6 satisfies both equation.

Thus, p = 6  will make the given pair of linear equations have infinitely many solutions.

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