Question

for which values of P and Q does the equation have infinitely many solutions?
73x+P=Qx+71

Answer 1

The equation given to us is:

73x+P=Qx+71

We know, from basic algebra, that for a system of simultaneous equations to have infinitely many solutions, the graphs of such equations must coincide or in other words one must lie on top of the other. This is possible only when the linear equations are the same. Thus, from the above equation it is clear that the right hand side of the equation must be the same as the left hand side of the equation for the equation to have infinitely many solutions.

The only way we can have that is when the corresponding values match or are the same.

Thus, our answer is: Q=73 and P=71