[" Find the value of "alpha" and "beta" for which the following "],[" pair of linear equations has infinite number of "],[" solutions ":2x+3y=7;2 alpha x+(alpha+beta)y=28" ( "1" ) "]

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 .

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 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 system of linear equations has infinite number of solutions: 2x+3y=7,\ \ \ \ 2alphax+(alpha+beta)y=28

For alpha=1 , the pair of linear equations alpha x+3y=-7 and 2x+6y=14 has infinitely many solutions.

Find the value of alpha so that the following linear equations have no solution (3 alpha+1)x+3y-2=0,(alpha^(2)+1)x+(alpha-2)y-5=0

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

If alpha and beta is the root of the equation x^2-3x+2=0 then find the value of alpha^2 + beta^2

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 ____