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Answer :

First, we must combine similar terms. If we move -17 to the right hand side as +17 and Qx to the left hand side as -Qx, we obtain,

[tex]Px-Qx\questeq22+17[/tex]

if we factorize x, we obtain

[tex](P-Q)x=39[/tex]

We can see that the equation has no solution if we obtain a contradictory result.

For instance, if P is equal to Q, we have

[tex]\begin{gathered} 0\cdot x=39 \\ \sin ce\text{ 0 times x is zero, we have} \\ 0=39\text{ !!!} \end{gathered}[/tex]

which is an absurd result. Then, if P = Q the equation has no solution for any x