Final answer:
To form a system of equations from the quadratic equation x² = 3x, subtract 3x from both sides to get x² - 3x = 0, then factor to x(x - 3) = 0, yielding the solutions x = 0 and x = 3.
Step-by-step explanation:
The equation given is x² = 3x. To change this into a system of equations, we can compare it to a general quadratic equation of the form ax² + bx + c = 0. First, we subtract 3x from both sides to get it into the standard form x² - 3x = 0. This equation can be factored into x(x - 3) = 0. Therefore, our system of equations is x = 0 and x - 3 = 0, which means x can be either 0 or 3.