For what value of the constant \(a\) does the system of equations below have infinitely many solutions?
Rearrange:
$2x + 5y = -8$
$6x + 15y = 16 + a$
Note: $6x + 15y = 3(2x + 5y)$
Multiply equation 1 by 3: $6x + 15y = -24$
An equation have a = - (16 - (-24) )= -40
Rearrange:
$2x + 5y = -8$
$6x + 15y = 16 + a$
Note: $6x + 15y = 3(2x + 5y)$
Multiply equation 1 by 3: $6x + 15y = -24$
An equation have a = - (16 - (-24) )= -40