Final answer:
To solve the given system using the Elimination method, add the two equations to eliminate 'y', then divide to find x=8. Substituting x back into one of the equations gives us y=-1.
Step-by-step explanation:
To solve the system of equations using the Elimination method, we look to eliminate one variable by adding or subtracting the equations. Here we have:
5x - 2y = 42
3x + 5x + 2y - 2y = 64
8x = 64
Divide both sides by 8 to solve for x:
2y = 22 - 24
2y = -2
y = -1
Therefore, the solution to the system of equations is x = 8 and y = -1.