Question

Metodo de igualacion:
Cuanto es:-2x+6y=14
3x-3y=3

Answer 1

SOLUCIÓN

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                        $Despejaremos\:"x"\:de\:la\:primera\:ecuaci\'on\\\\-2x+6y=14\\\\\\-2x=14-6y\\\\\\x=\dfrac{14-6y}{-2}\\\\\\Reemplazamos\:x\:en\:la\:segunda\:ecuaci\'on\\\\\\3x+-3y=3\\\\\\(3)\left(\dfrac{14-6y}{-2}\right)+-3y=3\\\\\\\dfrac{(3)(14-6y)+[(-2)(-3y)]}{-2}=3\\\\\\(42-18y)+(6y)=(3)(-2)\\\\\\42-12y=-6\\\\\\-12y=-48\\\\\\y=\dfrac{-48}{-12}\\\\\\\boxed{\boldsymbol{y=4}}$

                       $Reemplazamos\:"y"\:en\:"x"\\\\\\x=\dfrac{14-6y}{-2}\\\\\\x=\dfrac{14-6(4)}{-2}\\\\\\x=\dfrac{14-24}{-2}\\\\\\x=\dfrac{-10}{-2}\\\\\\\boxed{\boldsymbol{x=5}}$