Find the values 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

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

For real numbers alpha and beta , consider the following system of linear equations: x+y-z=2, x+2y+alpha z=1, 2x- y+z= beta . If the system has infinite solutions, then alpha+beta is equal to ____