Question

1/3 x + 1/3 *5 = 1/2 x + 1/2 *3

Answer 1

Объяснение:

$\frac{1}{3} x + \frac{1}{3} \times 5 = \frac{1}{2} x + \frac{1}{2} \times 3 \\\frac{1}{3}x+\frac{5}{3}=\frac{1}{2}x+\frac{1}{2}\times 3 \\ \frac{1}{3}x+\frac{5}{3}=\frac{1}{2}x+\frac{3}{2} \\\frac{1}{3}x+\frac{5}{3}-\frac{1}{2}x=\frac{3}{2} \\-\frac{1}{6}x+\frac{5}{3}=\frac{3}{2} \\-\frac{1}{6}x=\frac{3}{2}-\frac{5}{3} \\-\frac{1}{6}x=\frac{9}{6}-\frac{10}{6} \\-\frac{1}{6}x=\frac{9-10}{6} \\-\frac{1}{6}x=-\frac{1}{6} \\x=-\frac{1}{6}\left(-6\right) \\x=\frac{-\left(-6\right)}{6} \\x=6:6\\x=1$