Respuesta :

12x+15y=34

2(-6X+5Y)=3


12x+15y=34

-12x+10y=6   = 25y=40   25/40 =0.25 then you plug that back into any original equation and you get the x





Answer:

[tex]x=\frac{5}{6}[/tex]

[tex]y=\frac{8}{5}[/tex]

Step-by-step explanation:

Given system of equations,

12x + 15y = 34  ------(1)

-6x + 5y = 3 ------(2),

Equiation (1) + 2 × equation (2),

We get,

15y + 10y = 34 + 6

25y = 40

⇒ [tex]y=\frac{40}{25}=\frac{8}{5}[/tex]

From equation (2),

[tex]-6x + 5(\frac{8}{5}) = 3[/tex]

[tex]-6x + 8 = 3[/tex]

[tex]-6x = -5[/tex]

⇒ [tex]x = \frac{5}{6}[/tex]