Question

3x+2y=5
-2x+3y=0
método de Igualación porfavor ​

Answer 1

Explicación paso a paso:

$3x + 2y = 5 \\ 3x = 5 - 2y \\ x = \frac{5 - 2y}{3} \\ - 2x + 3y = 0 \\ - 2x = 0 - 3y \\ - 2x = - 3y \\ 2x = 3y \\ x = \frac{3y}{2} \\ \frac{5 - 2y}{3} = \frac{3y}{2} \\ 10 - 4y = 9y \\ 10 = 9y + 4y \\ 10 = 13y \\ 13y = 10 \\ y \frac{10}{13}$

$x = \frac{3y}{2} = \frac{3 \times \frac{10}{13} }{2} = \frac{ \frac{30}{13} }{2} = \frac{30}{13} \times \frac{1}{2} = \frac{30}{26} = \frac{15}{13}$

3*15/13+2*10/13=45/13+20/13=65/13=5

-2*15/13+3*10/13=-30/13+30/13=0

espero te sirva