Question

Find the solution for this system of equations.

12x + 15y = 34
-6x + 5y = 3

x =

y =

Answer 1

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 2

`x=(5)/(6)`

`y=(8)/(5)`

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

⇒
`y=(40)/(25)=(8)/(5)`

From equation (2),

`-6x + 5((8)/(5)) = 3`

`-6x + 8 = 3`

`-6x = -5`

⇒
`x = (5)/(6)`