Question

Resolva as equações abaixo com U-0.

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Answer 1

Explicação passo-a-passo:

$a)\\ {x\over4}-{7\over10}={2x\over5}-1\\ \\ mmc(4,5,10)=20\\ \\ 5x-14=8x-20\\ \\ 5x-8x=-20+14\\ \\ -3x=-6\\ \\ x=(-6)\div(-3)\\ \\ x=2\\ \\ S=\{2\}$

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$b)\\ {x-4\over3}-1=x-{2\over8}\\ \\ mmc(3,8)=24\\ \\ 8(x-4)-24=24x-6\\ \\ 8x-32-24=24x-6\\ \\ 8x-24x=-6+32+24\\ \\ -16x=-6+56\\ \\ -16x=50~~~\times(-1)\\ \\ 16x=-50\\ \\ x=-{50\over16}~~~simplificando~~-{50:2\over16:2}=-{25\over8}\\ \\ S=\{-{25\over8}\}$