5x-6y=-25 4x-3y+20=0 How many solutions does the system have? If your answer was exactly one solution, what is the solution?

The system has one solution because the slopes are different. TO solve ...

5x - 6y = - 25

4x - 3y = - 20, multiply this equation by - 2

5x - 6y = - 25

-8x + 6y = 40, now use combination to get

-3x = 15, so x = - 5. Now plug this back into either original equation to get

5 * (-5) - 6y = - 25

-6y = 0, so y = 0, so the solution is (-5,0)