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

Answer:

$x=\frac{5}{6}$

$y=\frac{8}{5}$

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

⇒ $y=\frac{40}{25}=\frac{8}{5}$

From equation (2),

$-6x + 5(\frac{8}{5}) = 3$

$-6x + 8 = 3$

$-6x = -5$

⇒ $x = \frac{5}{6}$