Question

If the simultaneous equation 4x-3y=12 and (2p+q) x-(p+q)y =3b have infinitely many solution then what are the values of P and a respectively​

Answer 1

Answer:

p=1, q=2, b=4

Step-by-step explanation:

In order for a system of equations to have infinitely many solutions, the equations should be equal.

So;

$\left \{ {{4=2p+q} \atop {-3=-(p+q)}} \right.$

if you sum them, you will get:

4+(-3)=2p-p+q-q

1=p

and if you insert p in any of the equations you will get:

q=2