Question

AYÚDENME A RESOLVER ESE EJRCICIO ES PARA MAÑANA GRACIAS
{5X-2Y=13
{X+3Y=6

Answer 1

SOLUCIÓN

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                            $Despejaremos\:"x"\:de\:la\:primera\:ecuaci\'on\\\\5x-2y=13\\\\\\5x=13+2y\\\\\\x=\dfrac{13+2y}{5}\\\\\\Reemplazamos\:x\:en\:la\:segunda\:ecuaci\'on\\\\\\x+3y=6\\\\\\\left(\dfrac{13+2y}{5}\right)+3y=6\\\\\\\dfrac{(13+2y)+[(5)(3y)]}{5}=6\\\\\\(13+2y)+(15y)=(6)(5)\\\\\\13+17y=30\\\\\\17y=17\\\\\\y=\dfrac{17}{17}\\\\\\\boxed{\boldsymbol{y=1}}$

                          $Reemplazamos\:"y"\:en\:"x"\\\\\\x=\dfrac{13+2y}{5}\\\\\\x=\dfrac{13+2(1)}{5}\\\\\\x=\dfrac{13+2}{5}\\\\\\x=\dfrac{15}{5}\\\\\\\boxed{\boldsymbol{x=3}}$