Question

m(x + n) – m(n - x) = m(mx +n) despejar x

Son ecuaciones lineales, ayúdenme a resolverla por fis, doy coronita

Answer 1

Explicación paso a paso:

$m(x + n) - m(n - x) = m(mx + n) \\ (mx + mn) - (mn - mx) = {m}^{2} x + mn \\ mx + mn - mn + mx = {m}^{2} x + mn \\ 2mx + 0 = {m}^{2} x + mn \\ 2mx - {m}^{2} x = mn \\ x(2m - {m}^{2} ) = mn \\ x = \frac{mn}{2m - {m}^{2} } \\ x = \frac{m \times n}{m(2 - m)} \\ x = \frac{n}{2 - m}$