Question

Resolver por igualación
2x-3y=8
3x+4y=-5

Answer 1

X=8+3y/2
X=-5-4y/3

3(8+3y)=2(-5-4y)
24+9y=-10-8y
9y+8y=-10-24
17y=-34
Y=-34/17
Y=-2

X=8+3y/2
X=8+3•2/2
X=8+6/2
X=14/2
X=7

Answer 2

Respuesta:

x = 1

y = -2

Explicación paso a paso:

2x - 3y = 8 ... (I)

3x + 4y = -5 ... (II)

Despejamos "x" en "I"

2x - 3y = 8

2x = 8 + 3y

x = (8 + 3y)/2

Despejamos "x" en "II"

3x + 4y = -5

3x = -5 - 4y

x = (-5 - 4y)/3

Igualamos los valores de "x"

(8 + 3y)/2 = (-5 - 4y)/3

3(8 + 3y) = 2(-5 - 4y)

24 + 9y = -10 - 8y

9y + 8y = -10 - 24

17y = -34

y = -34/17

y = -2

Reemplazamos "y" en "I" para hallar "x"

2x - 3y = 8

2x - 3(-2) = 8

2x + 6 = 8

2x = 8 - 6

2x = 2

x = 2/2

x = 1