Ecuaciones?
Ecuaciones. 1) 7(1x - 1) = 14 2) 6(1x + 2) = 2x 3) 3x + 2(1x - 5) = 4 4) 1 + 3x = 5(4 + 3x).
Ecuaciones. 1) 7(1x - 1) = 14 2) 6(1x + 2) = 2x 3) 3x + 2(1x - 5) = 4 4) 1 + 3x = 5(4 + 3x).
En resumen
Soluciones : 1. - <img src="https://tex.z-dn.net/?
Soluciones :
1.
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<img src="https://tex.z-dn.net/?f=7%281x-1%29%3D14%5C%2C%5Ctextup%7Bpero%201x%3Dx%2Cas%5C%27i%3A%7D%5C%5C7%281x-1%29%3D14%5C%5C7%28x-1%29%3D14%5C%5C%5Ctextup%7BLuego%20desarrollando%20y%20transponiendo%20se%20tiene%3A%7D%5C%5C7x-7%3D14%5C%5C7x%3D14%2B7%5C%2C%5Ctextup%7Bsimplificando%20y%20despejando%20x%20nos%20queda%3A%7D%5C%2C7x%3D21%5C%5Cx%3D%5Cfrac%7B21%7D%7B7%7D%5C%5Cx%3D3%5C%2C%5Ctextup%7Bcomprobando%7D%5C%5C7%283%29-7%3D14%5C%5C21-7%3D14%5C%5C14%3D14" />
2.
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<img src="https://tex.z-dn.net/?f=6%281x%2B2%29%3D2x%5C%5C%5Ctextup%7BLuego%20por%20el%20problema%201%20sabemos%20que%201x%3Dx%20por%20lo%20tanto%3A%7D%5C%5C6%281x%2B2%29%3D2x%5C%5C6%28x%2B2%29%3D2x%5C%2C%5Ctextup%7BDesarrollando%20y%20transponiendo%20nos%20queda%3A%7D%5C%5C6x%2B12%3D2x%5C%5C6x-2x%3D-12%5C%2C%5Ctextup%7Bsimplificando%20y%20despejando%20x%20se%20obtiene%3A%7D%5C%5C4x%3D-12%5C%5Cx%3D-%5Cfrac%7B12%7D%7B4%7D%5C%5Cx%3D-3%5C%2C%5Ctextup%7Bcomprobando%7D%5C%5C6%28-3%2B2%29%3D2%28-3%29%5C%5C6%28-1%29%3D-6%5C%5C-6%3D-6" />
3.
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<img src="https://tex.z-dn.net/?f=3x%2B2%281x-5%29%3D4%5C%5C%5Ctextup%7Bpor%201%20y%20por%202%201x%3Dx%2Cas%5C%27i%7D%5C%5C3x%2B2%281x-5%29%3D4%5C%5C3x%2B2%28x-5%29%3D4%5C%2C%5Ctextup%7Bdesarrollando%20y%20transponiendo%20t%5C%27erminos%20nos%20queda%3A%7D%5C%5C3x%2B2x-10%3D4%5C%5C3x%2B2x%3D4%2B10%5C%2C%5Ctextup%7Bsimplificando%20y%20despejando%20x%20se%20tiene%3A%7D%5C%5C5x%3D14%5C%5Cx%3D%5Cfrac%7B14%7D%7B5%7D%5C%2C%5Ctextup%7Bcomprobando%7D%5C%5C3%28%5Cfrac%7B14%7D%7B5%7D%29%2B2%28%5Cfrac%7B14%7D%7B5%7D%29-5%29%3D4%5C%5C%5Cfrac%7B42%7D%7B5%7D%2B2%28%5Cfrac%7B-11%7D%7B5%7D%29%3D4%5C%5C%5Cfrac%7B42%7D%7B5%7D-%5Cfrac%7B22%7D%7B5%7D%3D4%5C%5C4%3D4" />
4.
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<img src="https://tex.z-dn.net/?f=1%2B3x%3D5%284%2B3x%29%5C%2C%5Ctextup%7Bdesarrollando%7D%5C%5C1%2B3x%3D20%2B15x%5C%2C%5Ctextup%7Btransponiendo%20t%5C%27erminos%7D%5C%5C3x-15x%3D20-1%5C%2C%5Ctextup%7Bsimplificando%20y%20despejando%20x%20nos%20queda%7D%5C%5C-12x%3D-19%5C%5Cx%3D-%5Cfrac%7B19%7D%7B-12%7D%3D%5Cfrac%7B19%7D%7B12%7D%5C%2C%5Ctextup%7Bcomprobando%7D%5C%5C1%2B3%28-%5Cfrac%7B19%7D%7B12%7D%29%3D20%2B15%28-%5Cfrac%7B19%7D%7B12%7D%29%5C%5C1-%5Cfrac%7B19%7D%7B4%7D%3D20-%5Cfrac%7B95%7D%7B4%7D%5C%5C%5Cfrac%7B-15%7D%7B4%7D%3D%5Cfrac%7B-15%7D%7B4%7D%5C%5C-%5Cfrac%7B15%7D%7B4%7D%3D-%5Cfrac%7B15%7D%7B4%7D" />
Saludos.
Respuesta : Es una igualdad de dos expresiones algebraicas.
Respuesta : Es la ecuación cuadrática pura.