समीकरणों की इस प्रणाली को हल करें।x+3y=6
3x-5y=6
We can solve this system of equations by elimination method.

Multiplying the first equation by 3, we get:

3x + 9y = 18

Multiplying the second equation by 2, we get:

6x - 10y = 12

Now, if we add these two equations, we get:

9x - y = 30

Solving this equation for y, we get:

y = 9x - 30

Now, we can substitute this value of y in the first equation:

x + 3(9x - 30) = 6

Simplifying and solving for x, we get:

x = 3

Substituting this value of x in the equation we obtained for y, we get:

y = 9(3) - 30 = -3

Therefore, the solution to the system of equations is:

x = 3, y = -3.