Question

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

Answer 1

(5/6, 8/5)

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).

Answer 2

(5/6, 8/5)

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.