Which values of p and q result in an equation with exactly one solution? qx-6=px-103

For any value of P & Q except when both are equal , we get One solution of equation.

Step-by-step explanation:

Given: Linear Equation, Qx - 6 = Px - 103

           This equation has exactly 1 solution.

To find: Value of P and Q

First we solve the linear equation for value of x,

Qx - 6 = Px - 103

Transpose Px to LHS ( Left hand side ) we get,

Qx - Px - 6 = -103

Transpose 6 to RHS ( Right hand side ) we get,

Qx - Px = -103 + 6

Qx - Px = -97

taking x common in LHS, we get

( Q - P )  x =  -97

Traspose ( Q - P ) to RHS, we get

Thus, we are get only 1 value of x but it exist if P ≠ Q

otherwise no solution exist for the given linear Equation.

Therefore, For any value of P & Q except when both are equal , we get One solution of equation.

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step-by-step explanation: