Question

2x+3y = 12
3x-4y=-5
ayuda porfavor ​

Answer 1

Respuesta:

$x = \frac{33}{17}$

$y = \frac{46}{17}$

Explicación paso a paso:

2x+3y = 12

3x-4y=-5

$x = \frac{12 - 3y}{2}$

$x = \frac{ - 5 + 4y}{3}$

$\frac{12 - 3y}{2} = \frac{ - 5 + 4y}{3}$

3(12-3y) = 2(-5+4y)

36 - 9y = -10 + 8y

-17y = -10 - 36

-17y = -46

$y= \frac{46}{17}$

$2x + 3 \times \frac{46}{17} = 12$

$2x = 12 - \frac{138}{17}$

$2x = \frac{66}{17}$

$x = \frac{66}{17} \div 2$

$x = \frac{33}{17}$