Question

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?

Answer 1

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)