Answer: To solve this system of equations using elimination method, we need to eliminate one variable by adding or subtracting the two equations. Let's first multiply the first equation by -12 and the second equation by 5, so that we can eliminate the x variable:
-60x - 120y = -9900
60x + 55y = 5935
Now we can add the two equations to eliminate the x variable:
-65y = -3965
Dividing both sides by -65, we get:
y = 61
Now we can substitute this value of y into either of the original equations to solve for x. Let's use the first equation:
5x + 10(61) = 825
Simplifying and solving for x, we get:
5x = 165
x = 33
Therefore, the solution to the system of equations is x = 33, y = 61.
Explanation: