Question

IGUALACION.
2x + 5y = 20
x - 4y = -3​

Answer 1

SOLUCIÓN

♛ HØlα!! ✌

                        $Despejaremos\:"x"\:de\:la\:primera\:ecuaci\'on\\\\2x+5y=20\\\\\\2x=20-5y\\\\\\x=\dfrac{20-5y}{2}\\\\\\Reemplazamos\:x\:en\:la\:segunda\:ecuaci\'on\\\\\\x-4y=-3\\\\\\\left(\dfrac{20-5y}{2}\right)-4y=-3\\\\\\\dfrac{(20-5y)+[(2)(-4y)]}{2}=-3\\\\\\(20-5y)+(-8y)=(-3)(2)\\\\\\20-13y=-6\\\\\\-13y=-26\\\\\\y=\dfrac{-26}{-13}\\\\\\\boxed{\boldsymbol{y=2}}$

                       $Reemplazamos\:"y"\:en\:"x"\\\\\\x=\dfrac{20-5y}{2}\\\\\\x=\dfrac{20-5(2)}{2}\\\\\\x=\dfrac{20-10}{2}\\\\\\x=\dfrac{10}{2}\\\\\\\boxed{\boldsymbol{x=5}}$