For Equation A: x = 0 for any values of m and n.
For Equation B: there is no solution for x with n = 1.
Solving for x in terms of m and n from the given equations:
Equation A: m(x + n) = mn
We want to isolate x. To do that, we need to get x by itself. Divide both sides by m
(x + n) = n
Subtract n from both sides to isolate x:
x = n - n
x = 0
Therefore, for Equation A, x = 0 regardless of the values of m and n.
Equation B: n(x - n) = m + x, n = 1
Since n = 1 is already given, substitute 1 for n in the equation
1(x - 1) = m + x
Expanding the bracket
x - 1 = m + x
Combining like terms
-1 = m
Since -1 cannot be equal to m, there is no solution for x under Equation B with n = 1.
In conclusion:
For Equation A: x = 0 for any values of m and n.
For Equation B: there is no solution for x with n = 1.