El tema es de ecuaciones
Numero:1/2 ecuacion:3x + 3/4=2 1/4 1/2___es solucion de la ecuacion.
Numero:2/3 ecuacion:1/2x - 1/6=1/4 2/3___es solucion de la ecuacion.
Respuestas
Respuesta dada por:
1
1/2. x= 1/2
la otra no la se
la otra no la se
JARV34657:
las 2 son correctas
Respuesta dada por:
0
Resolvemos :
![3x + \frac{3}{4} = 2 \frac{1}{4} 3x + \frac{3}{4} = 2 \frac{1}{4}](https://tex.z-dn.net/?f=3x+%2B++%5Cfrac%7B3%7D%7B4%7D+%3D+2+%5Cfrac%7B1%7D%7B4%7D++)
Tenemos una fracción mixta, lo transformamos a entero.
![2 \frac{1}{4} = \frac{2*4+1}{4} = \frac{9}{4} 2 \frac{1}{4} = \frac{2*4+1}{4} = \frac{9}{4}](https://tex.z-dn.net/?f=2+%5Cfrac%7B1%7D%7B4%7D+%3D++%5Cfrac%7B2%2A4%2B1%7D%7B4%7D+%3D++%5Cfrac%7B9%7D%7B4%7D+)
![======================================== ========================================](https://tex.z-dn.net/?f=%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D)
Ahora si resolvemos.
![3x + \frac{3}{4} = \frac{9}{4} 3x + \frac{3}{4} = \frac{9}{4}](https://tex.z-dn.net/?f=3x+%2B++%5Cfrac%7B3%7D%7B4%7D+%3D++%5Cfrac%7B9%7D%7B4%7D+)
![3x = \frac{9}{4} - \frac{3}{4} 3x = \frac{9}{4} - \frac{3}{4}](https://tex.z-dn.net/?f=3x+%3D++%5Cfrac%7B9%7D%7B4%7D+-++%5Cfrac%7B3%7D%7B4%7D+)
Fracciones homogéneas igual denominador.
![3x = \frac{9-3}{4} 3x = \frac{9-3}{4}](https://tex.z-dn.net/?f=3x+%3D++%5Cfrac%7B9-3%7D%7B4%7D+)
![3x = \frac{6}{4} 3x = \frac{6}{4}](https://tex.z-dn.net/?f=3x+%3D++%5Cfrac%7B6%7D%7B4%7D+)
![x = \frac{ \frac{6}{4} }{ \frac{3}{1} } x = \frac{ \frac{6}{4} }{ \frac{3}{1} }](https://tex.z-dn.net/?f=x+%3D++%5Cfrac%7B+%5Cfrac%7B6%7D%7B4%7D+%7D%7B+%5Cfrac%7B3%7D%7B1%7D+%7D+)
![x = \frac{6*1}{4*3} x = \frac{6*1}{4*3}](https://tex.z-dn.net/?f=x+%3D++%5Cfrac%7B6%2A1%7D%7B4%2A3%7D+)
![x = \frac{6:2}{12:2} x = \frac{6:2}{12:2}](https://tex.z-dn.net/?f=x+%3D++%5Cfrac%7B6%3A2%7D%7B12%3A2%7D+)
![x = \frac{3}{6} x = \frac{3}{6}](https://tex.z-dn.net/?f=x+%3D++%5Cfrac%7B3%7D%7B6%7D+)
![x = \frac{1}{2} x = \frac{1}{2}](https://tex.z-dn.net/?f=x+%3D++%5Cfrac%7B1%7D%7B2%7D+)
![========================================= =========================================](https://tex.z-dn.net/?f=%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D)
Segunda ecuación de 1°er grado.
![\frac{1}{2x} - \frac{1}{6} = \frac{1}{4} \frac{1}{2x} - \frac{1}{6} = \frac{1}{4}](https://tex.z-dn.net/?f=+%5Cfrac%7B1%7D%7B2x%7D+-++%5Cfrac%7B1%7D%7B6%7D+%3D++%5Cfrac%7B1%7D%7B4%7D++)
![\frac{1}{2x} = \frac{1}{4} - \frac{1}{6} \frac{1}{2x} = \frac{1}{4} - \frac{1}{6}](https://tex.z-dn.net/?f=+%5Cfrac%7B1%7D%7B2x%7D+%3D++%5Cfrac%7B1%7D%7B4%7D+-+++%5Cfrac%7B1%7D%7B6%7D++)
![\frac{1}{2x} = \frac{(1)(6)-(4)(1)}{4*6} \frac{1}{2x} = \frac{(1)(6)-(4)(1)}{4*6}](https://tex.z-dn.net/?f=+%5Cfrac%7B1%7D%7B2x%7D+%3D++%5Cfrac%7B%281%29%286%29-%284%29%281%29%7D%7B4%2A6%7D+)
![\frac{1}{2x} = \frac{6-4}{24} \frac{1}{2x} = \frac{6-4}{24}](https://tex.z-dn.net/?f=+%5Cfrac%7B1%7D%7B2x%7D+%3D++%5Cfrac%7B6-4%7D%7B24%7D+)
![\frac{1}{2x} = \frac{2}{24} \frac{1}{2x} = \frac{2}{24}](https://tex.z-dn.net/?f=+%5Cfrac%7B1%7D%7B2x%7D+%3D++%5Cfrac%7B2%7D%7B24%7D+)
![\frac{1}{2x} = \frac{1}{12} \frac{1}{2x} = \frac{1}{12}](https://tex.z-dn.net/?f=+%5Cfrac%7B1%7D%7B2x%7D+%3D++%5Cfrac%7B1%7D%7B12%7D+)
![2x = \frac{1}{12} * 1 2x = \frac{1}{12} * 1](https://tex.z-dn.net/?f=2x+%3D+++%5Cfrac%7B1%7D%7B12%7D+%2A+1)
![x = \frac{ \frac{1}{12} }{ \frac{2}{1} } x = \frac{ \frac{1}{12} }{ \frac{2}{1} }](https://tex.z-dn.net/?f=x+%3D++%5Cfrac%7B+%5Cfrac%7B1%7D%7B12%7D+%7D%7B+%5Cfrac%7B2%7D%7B1%7D+%7D+)
![x = \frac{1*1}{12*2} x = \frac{1*1}{12*2}](https://tex.z-dn.net/?f=x+%3D++%5Cfrac%7B1%2A1%7D%7B12%2A2%7D+)
![x = \frac{1}{24} x = \frac{1}{24}](https://tex.z-dn.net/?f=x+%3D++%5Cfrac%7B1%7D%7B24%7D++)
Tenemos una fracción mixta, lo transformamos a entero.
Ahora si resolvemos.
Fracciones homogéneas igual denominador.
Segunda ecuación de 1°er grado.
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