10/Find the value of `alpha` and `beta` for which the following system of linear equations has infinite number of solutions`2x+3y=7,2alphax+(alpha+beta)y=28`

Find the values of alpha and beta for which the following system of linear equations has infinite number of solutions: 2x+3y=7,quad 2 alpha x+(alpha+beta)y=28

Find the values of alpha and beta for which the following pair of linear equations has infinite number of solutions : 2x+3y=7, 2alpha x + (alpha+beta)y=28 .

Find the values of a and b for which the following system of linear equations has infinite number of solutions: 2x-3y=7,quad (a+b)x-(a+b-3)y=4a+b

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 a and b for which the following system of linear equations has infinite number of solutions: 2x-3y=7,\ \ \ \ (a+b)x-(a+b-3)y=4a+b

Find the values of a and b for which the following system of equations has infinitely many solutions : 2x+3y =7 2ax +ay = 28 - by

Find the value of a for which the following system of equations has infinitely many solutions: 2x+3y=7,\ \ \ \ (a-1)x+(a+2)y=3a

If alpha and beta are the roots of the equation 2x^2+3x-6 then find the value of alpha^2+beta^2

An ordered pair (alpha, beta) for which the system of linear equations (1 + alpha) x beta y +z = 2 alphax + (1+beta)y+z = 3 alphax + beta y + 2z = 2 has a unique solution, is