Question

the
find the values of α and β for which
following system of linear equation has
infinity number of solutions 2x+ 3y = 7
2 αx + (α + β) y = 28​

Answer 1

Answer:

2x+3y=7

2alpha x +(alpha+ beta)y=28

We know the system of infinite number of solutions,. a1/a2=b1/b2=c1/c2

2/2alpha=3/alpha+beta= -7/-28

2/2alpha= -7/-28. or. 3/alpha+beta= -7/-28

-56= -14alpha. -84= -28-7beta

alpha=4. beta=8