Final answer:
To solve the system of equations x-3y=0 and 3x-6y=9 by combining the equations, you can use the method of substitution. After rearranging the first equation, substitute this expression into the second equation and solve for y. Then, substitute the value of y back into the equation to find x.
Step-by-step explanation:
To solve the system of equations x-3y=0 and 3x-6y=9 by combining the equations, we can use the method of substitution. From the first equation, we can rearrange it to solve for x in terms of y: x = 3y. Substituting this expression for x in the second equation, we get 3(3y) - 6y = 9. Simplifying and solving for y, we get y = 3. Plugging this value of y back into x = 3y, we find x = 9. Therefore, the solution to the system of equations is x = 9 and y = 3.