Find the values of `p` and `q` for which the following system of linear equations has infinite number of solutions: `2x+3y=9,\ \ \ \ (p+q)x+(2p-q)y=3(p+q+1)`

Find the value of p and q for which the following system of linear equations has infinite number of solutions: 2x+3y=1,(p+q)x+(2p-q)y=21 .

Find the values of p and q for which the following system of equations has infinite number of solutions: 2x+3y=7,quad (p+q)x+(2p-q)y=21

For what value of p and q , will the following pair of linear equations have infinitely many solutions? 4x+5y=2 (2p+7q)x + (p+8q) y=2q-p+1

The system of equation px + 4y = 32 and 2qy + 15x = 96 has infinite solutions. The value of p -q is

If p and q are the roots of the quadratic equation x^(2)+px-q=0 , then find the values of p and q.

Let z be a complex number satisfying equation z^(p)-z^(-q), where p,q in N, then if p=q then number of solutions of equation will be infinite.if p=q, then number of solutions of equation will be finite.if p!=q, then number of solutions of equation will be p+q+1 if p!=q, then number of solutions of equation will be p+q.

Find the value of p for which the quadratic equation (p+1)x^(2)+-6(p+1)x+3(p+q)=0,p!=-1 has equal roots.Hence,find the roots of the equation.