Answer:
To solve this system using elimination, we can add the two equations together to eliminate the y variable:
(5x + 6y) + (10x - 6y) = 26 - 2
Simplifying this equation gives:
15x = 24
Dividing both sides by 15 gives:
x = 24/15 = 8/5
We can substitute this value of x into either of the original equations to solve for y. Let's use the first equation:
5x + 6y = 26
Substituting x = 8/5 gives:
5(8/5) + 6y = 26
Simplifying this equation gives:
y = (26 - 8)/6 = 3
Therefore, the solution to the system is x = 8/5 and y = 3.