Question

4x + 3y = 10
7x - 2y = 3 ​

Answer 1

SOLUCIÓN

♛ HØlα!! ✌

                $Despejaremos\:"x"\:de\:la\:primera\:ecuaci\'on\\\\4x+3y=10\\\\\\4x=10-3y\\\\\\x=\dfrac{10-3y}{4}\\\\\\Reemplazamos\:x\:en\:la\:segunda\:ecuaci\'on\\\\\\7x-2y=3\\\\\\(7)\left(\dfrac{10-3y}{4}\right)-2y=3\\\\\\\dfrac{(7)(10-3y)+[(4)(-2y)]}{4}=3\\\\\\(70-21y)+(-8y)=(3)(4)\\\\\\70-29y=12\\\\\\-29y=-58\\\\\\y=\dfrac{-58}{-29}\\\\\\\boxed{\boldsymbol{y=2}}$

              $Reemplazamos\:"y"\:en\:"x"\\\\\\x=\dfrac{10-3y}{4}\\\\\\x=\dfrac{10-3(2)}{4}\\\\\\x=\dfrac{10-6}{4}\\\\\\x=\dfrac{4}{4}\\\\\\\boxed{\boldsymbol{x=1}}$