Question

2x+3y=-1
3x+4y=0 por metodo de igualacion​

Answer 1

Respuesta:

x = 4 ; y = -3

Explicación paso a paso:

2x + 3y = -1 //(4)

3x + 4y = 0 //(-3)

8x + 12y = -4

-9x - 12y = 0

-x = -4

x = 4

Para y:

2(4) + 3y = -1

8 + 3y = -1

3y = -9

y = -3

Answer 2

Respuesta:

$x= 4\\\\y= -3$

Explicación paso a paso:

$2x+3y=-1\\\\3x+4y=0\\\\DESPEJAR (X)\\\\2x+3y=-1\\\\2x= -1-3y\\\\x= \frac{-1-3y}{2} \\\\\\3x+4y=0\\\\3x=-4y\\\\x= \frac{-4y}{3}\\\\\\IGUALAR -ECUACIONES\\\\ \frac{-1-3y}{2} = \frac{-4y}{3} \\\\-1-3y(3)=2(-4y)\\\\-3-9y=-8y\\\\-9y+8y=3\\\\-y= 3\\\\(-1)-y=3\\\\y= -3$

$REEMPLAZAR (Y)\\\\3x+4y=0\\\\3x+4(-3)=0\\\\3x-12=0\\\\3x= 12\\\\x=\frac{12}{3} \\\\x= 4\\\\\\IGUALAR\\\\2x+3y=-1\\\\2(4)+3(-3)=-1\\\\8-9=-1\\\\-1=-1\\\\\\3x+4y=0\\\\3(4)+4(-3)=0\\\\12-12=0\\\\0=0$

Saludos!