Question

Resuelve las siguientes ecuaciones:
-2.5 (m – 3 ) = 1.5 ( m + 3.5)
-2/3 (3m - 1/2 ) = 3/4 (m + 1/3)
Con procedimiento, por favor.

Answer 1

Respuestas:

$-2.5 (m - 3 ) = 1.5 ( m + 3.5)\\\\- 2.5 ( m ) - 2.5 ( - 3 ) = 1. 5 ( m ) + 1.5 (3.5)\\\\- 2. 5 m + 7. 5 = 1. 5 m + 5. 25\\\\- 2 . 5 m - 1 . 5 m = 5 . 25 - 7 . 5\\\\4 m = 2. 25\\\\m = \frac{2.25}{4}\\\\m = 0.5625$

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$- \frac{2}{3}(3 m - \frac{1}{2})= \frac{3}{4}(m + \frac{1}{3})\\\\- \frac{2}{3}( 3 m ) - \frac{2}{3}(-\frac{1}{2})= \frac{3}{4}(m) + \frac{3}{4}(\frac{1}{3} ) \\\\- 2 m + \frac{1}{3}=\frac{3}{4}m + \frac{1}{4}\\\\- 2 m - \frac{3}{4}m = \frac{1}{4}-\frac{1}{3}\\\\\frac{-(4)(2)- (1)(3)}{4}m= \frac{(3)(1) - (4)(1)}{12}\\\\\frac{-8 - 3}{4}m=\frac{3 - 4}{12}\\\\\frac{-11}{4}m=\frac{-1}{12}\\\\m = \frac{\frac{-1}{12} }{\frac{-11}{4} }\\\\m = \frac{-1}{12} ( \frac{4}{-11})\\\\m = \frac{-1}{3}(\frac{1}{-11})$

$m = \frac{-1}{-33}\\\\m = \frac{1}{33}$