can someone help me? find the solution for this system of equation

Answer:
(5/6, 8/5)
Step-by-step explanation:
We multiply the second equation by 2, and then add the equations together.
12x+15y=34
-12x+10y=6
------------------
25y=40
We divide by 25 on both sides, and get that y = 8/5. We substitute y into either of the equations.
-6x +5(8/5)=3
Do the multiplication.
-6x+8=3
Subtract 8 from both sides.
-6x=-5
Divide by -6 on both sides.
x=5/6.
Answer:
(5/6, 8/5)
Step-by-step explanation:
Multiply the second equation by 2. Then the resulting system will be:
12x + 15y = 34
-12x +10y = 6
... which, when simplified, results in 25y = 40. Thus, y = 8/5
Substituting 8/5 for y in the second equation, we get
-6x + 5(8/5) = 3, or
-6x + 8 = 3, or -6x = -5. Then x = 5/6
and the solution is (5/6, 8/5).