Question

3x + 2y = 7
4× - 3y = - 2
Resolver por metodo de igualacion

Answer 1

Respuesta:

 $x=1\\y=2$

Explicación paso a paso:

$3x+2y=7~~~~~.....(1)\\4x-3y=-2~~~~...(2)$

Despejando x en (1) y (2)

 $3x+2y=7\\3x=7-2y\\x=\frac{7-2y}{3}~~~~~....(3)$                  $4x-3y=-2\\4x=-2+3y\\x=\frac{-2+3y}{4}~~~~~....(4)$

Igualando x de (3) y (4)

    $x=x\\\\\frac{7-2y}{3}=\frac{-2+3y}{4}\\\\4(7-2y)=3(-2+3y)\\\\28-8y=-6+9y\\\\-8y-9y=-6-28\\\\-17y=-34\\\\-y=\frac{-34}{17}\\\\-y=-2\\\\y=2$                                  $3x+2y=7\\\\3x+2(2)=7\\\\3x+4=7\\\\3x=7-4\\\\x=\frac{3}{3}\\\\x=1$