Question

resuelve la ecuación
x+3/2=3x-1
aiudaaaaaaaaaaaaaaa

Answer 1

- Ecuación:

❀ Resolvemos:

$x + \frac{3}{2} = 3x - 1 \\ \\ \frac{3}{2} + 1 = 3x - x \\ \\ \frac{3}{2} + \frac{1}{1} = 2x \\ \\ \frac{2 \div 2 \times 3 + 2 \div 1 \times 1}{2} = 2x \\ \\ \frac{3 + 2}{2} = 2x \\ \\ \frac{5}{2} = 2x \\ \\ \frac{5}{2} \div 2 = x \\ \\ \frac{5}{2} \div \frac{2}{1} = x \\ \\ \frac{5 \times 1}{2 \times 2} = x \\ \\ \frac{5}{4} = x$

❀ Comprobamos:

$x + \frac{3}{2} = 3x - 1 \\ \\ \frac{5}{4} + \frac{3}{2} = 3 \times \frac{5}{4} - 1 \\ \\ \frac{4 \div 4 \times 5 - 4 \div 2 \times 3}{4} = \frac{3 \times 5}{1 \times 4} - 1 \\ \\ \frac{5 + 6}{4} = \frac{15}{4} - \frac{1}{1} \\ \\ \frac{11}{4} = \frac{4 \div 4 \times 15 - 4 \div 1 \times 1}{4} \\ \\ \frac{11}{4} = \frac{15 - 4}{4} \\ \\ \frac{11}{4} = \frac{11}{4}$