Final answer:
To find the solution as an ordered pair for the given equations, we substitute the value of x from one equation into the other equation and solve for y. Then, we substitute the value of y back into one of the equations to find x. The solution as an ordered pair is (-3, y), where y is any real number.
Step-by-step explanation:
To find the solution as an ordered pair for the equations 3x - 6y = -9 and x = 2y - 3, we need to solve the system of equations. We can do this by substituting the value of x from the second equation into the first equation and solving for y. Then, we can substitute the value of y back into the second equation to find x.
Step 1: Substitute the value of x from the second equation into the first equation:
3(2y - 3) - 6y = -9
6y - 9 - 6y = -9
-9 = -9
Step 2: The equation -9 = -9 is true for any value of y. Therefore, the solution is y = any real number.
Step 3: Substitute the value of y back into the second equation to find x:
x = 2y - 3
x = 2(y) - 3
x = 2(0) - 3
x = -3
The solution as an ordered pair is (-3, y), where y is any real number.