3x-5y=24 3x+5y=6

add the two equations:

6x = 30
x=5
so y = -9/5

To find the solution to the system of equations:

3x - 5y = 24
3x + 5y = 6

We can use a method called elimination. The goal is to eliminate one variable by adding or subtracting the two equations.

To eliminate the variable "y", we add the two equations together:

(3x - 5y) + (3x + 5y) = 24 + 6
3x - 5y + 3x + 5y = 30
6x = 30

Now, we can solve for "x" by dividing both sides of the equation by 6:

6x / 6 = 30 / 6
x = 5

Now that we have the value of "x", we can substitute it back into one of the original equations to find the value of "y". Let's use the second equation:

3x + 5y = 6
3(5) + 5y = 6
15 + 5y = 6
5y = 6 - 15
5y = -9
y = -9 / 5
y = -1.8

So, the solution to the system of equations is x = 5 and y = -1.8.