Matemáticas, pregunta formulada por AnaBeleizan, hace 4 meses

x+1/3=1
x - 2/5=3/10
2/3 + x = 7/9
x +1/4 = 1/5
x - 1/2= -1/4

Respuestas a la pregunta

Contestado por IvyChen
1

Respuesta:

x +  \frac{1}{3}  = 1 \\ 3(x +  \frac{1}{3} ) = 1 \times 3 \\ 3x + 1 = 3 \\ 3x = 3 - 1 \\ 3x = 2 \\ x =  \frac{2}{3}

x -  \frac{2}{5} =   \frac{3}{10}  \\ 10(x -  \frac{2}{5} ) = 10 \times  \frac{3}{10}  \\ 10x - 4 = 3 \\ 10 x= 3 + 4 \\ 10x = 7 \\ x =  \frac{7}{10}

 \frac{2}{3}  + x =  \frac{7}{9}  \\ 9(  \frac{2}{3}  + x ) = 9 \times  \frac{7}{9}  \\ 6 + 9x = 7 \\ 9x = 7 - 6 \\ 9x = 1 \\ x =  \frac{1}{9}

x +  \frac{1}{4}  =  \frac{1}{5}  \\ 20(x +  \frac{1}{4} ) = 20 \times  \frac{1}{5}  \\ 20x + 5 = 4 \\ 20x = 4 - 5 \\ 20x =  - 1 \\ x =  -  \frac{1}{20}

x -  \frac{1}{2}  =  -  \frac{1}{4}  \\ 4(x -  \frac{1}{2} ) = 4 \times ( -  \frac{1}{4} ) \\ 4x - 2 =  - 1 \\ 4x =  - 1 + 2 \\ 4x =  1 \\ x =  \frac{1}{4}

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