Question

resultado de la ecucion 2x-2y=7, 7x-y=26

Answer 1

SOLUCIÓN

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                     $Despejaremos\:"x"\:de\:la\:primera\:ecuaci\'on\\\\2x-2y=7\\\\\\2x=7+2y\\\\\\x=\dfrac{7+2y}{2}\\\\\\Reemplazamos\:x\:en\:la\:segunda\:ecuaci\'on\\\\\\7x-1y=26\\\\\\(7)\left(\dfrac{7+2y}{2}\right)-1y=26\\\\\\\dfrac{(7)(7+2y)+[(2)(-1y)]}{2}=26\\\\\\(49+14y)+(-2y)=(26)(2)\\\\\\49+12y=52\\\\\\12y=3\\\\\\y=\dfrac{3}{12}\\\\\\\boxed{\boldsymbol{y=0.25}}$

                    $Reemplazamos\:"y"\:en\:"x"\\\\\\x=\dfrac{7+2y}{2}\\\\\\x=\dfrac{7+2(0.25)}{2}\\\\\\x=\dfrac{7+0.5}{2}\\\\\\x=\dfrac{7.5}{2}\\\\\\\boxed{\boldsymbol{x=3.75}}$