Answer:
Given equation: [tex]Px+5 = -4x+ Q[/tex]
Add 4x on both sides we get;
Px + 5 + 4x = -4x + Qc+ 4x
Simplify:
Px +4x + 5 = Q
or
x(P+4) = Q - 5
Divide P+4 on both sides we get;
[tex]x = \frac{Q-5}{P+4}[/tex]
If we set Q-5 = 0 and P +4 = 0, there will be no solutions.
Since, No solution would mean that there is no answer to the equation.
⇒[tex]Q -5 = 0[/tex]
or
Q = 5
and
⇒[tex]P +4 = 0[/tex]
or
P= -4
Therefore, the values of P = -4 and Q = 5 results in an equation with no solutions.
