Решите уравнение:2)х/5+х/4=х/2-1/4; 3)х/3-х/15=х/5+2/3; 4) х/8-х/6=х/4-7/8
Решите уравнение:2)х/5+х/4=х/2-1/4; 3)х/3-х/15=х/5+2/3; 4) х/8-х/6=х/4-7/8
Ответ(ы) на вопрос:
[latex] \frac{x}{5} + \frac{x}{4} = \frac{x}{2}- \frac{1}{4} [/latex]
[latex] \frac{x}{5} + \frac{x}{4}- \frac{x}{2} =- \frac{1}{4} [/latex]
[latex] \frac{4*x}{4*5} + \frac{5*x}{5*4} - \frac{10*x}{20} =- \frac{1}{4} [/latex]
[latex] \frac{4x+5x-10x}{20} =- \frac{1}{4} [/latex]
[latex]- \frac{x}{20}=- \frac{1}{4} [/latex]
[latex]x= \frac{1}{4}*20 [/latex]
x=5
[latex] \frac{x}{3} - \frac{x}{15} = \frac{x}{5} + \frac{2}{3} [/latex]
[latex] \frac{x}{3} - \frac{x}{15} - \frac{x}{5} = \frac{2}{3} [/latex]
[latex] \frac{5x}{5*3} - \frac{x}{15} - \frac{3x}{3*5} = \frac{2}{3} [/latex]
[latex] \frac{5x-x-3x}{15} = \frac{2}{3} [/latex]
[latex] \frac{x}{15} = \frac{2}{3} [/latex]
[latex]x= \frac{2}{3} *15=10[/latex]
x=10
[latex] \frac{x}{8} - \frac{x}{6} = \frac{x}{4} - \frac{7}{8} [/latex]
[latex] \frac{x}{8} - \frac{x}{6} - \frac{x}{4} =- \frac{7}{8} [/latex]
[latex] \frac{3x}{3*8} - \frac{4x}{4*6} - \frac{6x}{6*4} =- \frac{7}{8} [/latex]
[latex] \frac{3x-4x-6x}{24} =- \frac{7}{8} [/latex]
[latex]- \frac{7}{24} x=- \frac{7}{8} [/latex]
[latex]x=- \frac{7}{8} : (- \frac{7}{24} )=- \frac{7}{8} *(- \frac{24}{7} )=3[/latex]
x=3
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