Final answer:
The solution to the given system of equations is x = 10 and y = 0.
Step-by-step explanation:
The given equations are:
y = -2x + 20
y = 3x - 30
To find the solution, we can set the two equations equal to each other:
-2x + 20 = 3x - 30
Next, we can solve for x:
-2x - 3x = -30 - 20
-5x = -50
x = -50/-5
x = 10
Now, substitute the value of x back into one of the original equations to find the value of y:
y = 3(10) - 30
y = 30 - 30
y = 0
Therefore, the solution is x = 10 and y = 0.