Final answer:
Assuming the corrected equations are y = 6x + 45 and y = 15x, by using elimination method we find that the solution to the system of equations is x = 5 and y = 75.
Step-by-step explanation:
The student seems to have made a typo in the first equation. Assuming the correct equations are y = 6x + 45 and y = 15x, we want to solve them using the elimination method. By setting the two equations equal to each other, we can solve for x.
First, we write the two equations:
Next, we set them equal to eliminate y:
6x + 45 = 15x
To solve for x, we'll subtract 6x from both sides:
45 = 9x
Now, divide both sides by 9 to get the value of x:
x = 5
Finally, substitute x back into one of the original equations to find y:
y = 15(5)
y = 75
Thus, the solution to the system of equations is x = 5 and y = 75.