Question

For which values of p and q does the following equation have infinitely many solutions?

PX + Q = 46x +23

A) p = 46 & q = 23
B) p = -46 & q = 23
C) p=-46 & q = -23
D) p= 46 & q = -23

(Select all that may apply)

Answer 1

The equation:
p x + q = 46 x + 23
p x - 46 x = 23 - q
x ( p - 46 ) = 23 - q
x = ( 23 - q ) / ( p - 46 )
This equation has infinitely many solutions for :
23 - q = 0  and  p - 46 = 0
or:  q = 23  and  p = 46
Answer : A ) p = 46 & q = 23