Final answer:
The solution of the system of equations is (-30, -15).
Step-by-step explanation:
To find the solution of a system of equations, we need to solve the equations simultaneously to find the values of x and y that satisfy both equations.
Given the system of equations:
y = (2/3)x + 5
x - 3y = 15
Substitute the first equation into the second equation to eliminate the y variable:
x - 3((2/3)x + 5) = 15
Simplify and solve for x:
x - 2x - 15 = 15
-x = 30
x = -30
Substitute the value of x back into the first equation to find the value of y:
y = (2/3)(-30) + 5
y = -20 + 5
y = -15
Therefore, the solution of the system of equations is (-30, -15).