Question

Which values of PP and QQ result in an equation with no solutions? Qx+P=33x+25Qx+P=33x+25

Answer 1

Question:

Which values of P and Q result in an equation with no solutions? Qx+P=33x+25

Answer:

P = 25 or Q = 33

Step-by-step explanation:

Qx+P=33x+25

Qx - 33x = 25 - P

x(Q - 33) = 25 - P

x = (25 - P)/(Q - 33)

There is on solution when (25 - P) = 0 or (Q - 33) = 0

25 - P = 0

P = 25

Q - 33 = 0

Q = 33

Answer: There is no solution when P = 25 or Q = 33

Answer 2

Question -

which values of P and Q result in an equation with no solutions ?


Qx + P = 33x + 25


Answer : $\bold{P = 25 \: or \: Q = 33}$



Explanation -


Given : Qx + P = 33x + 25


Qx - 33x = 25 - P


(Q - 33)x = 25 - P



$x = \dfrac{25 - p}{q - 33}$



There is no answer when P -25 = 0 and Q - 33 = 0


P - 25 = 0

P = 25


Q - 33 = 0

Q = 33



Hence :

$\bold{Answer : P = 25 \: or \: Q = 33}$