The steps are as follows:
1. Using two unknowns m and n in the equation, choose an unknown, assuming it is free variables (i.e. a variable with arbitrary value). In this example, we assume that n is free variables.
2. Take a value of free variables n and substitute it into the equation to solve the value of another unknown m.
3. Combining the two unknowns M and N, the solution of equation 45m+33n=336 is obtained.
Below we specify:
1. Assuming that n is free variables, it can take any value. Here, we can choose any integer as the value of n.
2. Substitute the selected value of n into the equation to solve another unknown value of m. Here we take n=0 as an example to solve it.
Substituting n=0 into the equation 45m+33n=336, we get 45m+33*0=336, that is, 45m=336, and the solution is m=336/45=7.47.
3. Combining the obtained m and n, the solution of equation 45m+33n=336 is m=7.47 and n=0.
It should be noted that equation 45m+33n=336 is a linear equation, and there can be countless solutions. Therefore, when solving the equation, we can choose an unknown as the free variables, and then substitute it to get the values of other unknowns. If you need to solve all the solutions of the equation, you can choose different values of free variables to solve it, and combine all the values of M and N obtained from the solution.