Final answer:
To solve the system using elimination method, multiply one or both of the equations by a constant to eliminate one variable, then add or subtract the equations to eliminate the other variable. Finally, solve for the remaining variable and substitute the value back into one of the original equations.
Step-by-step explanation:
To solve the system using elimination method:
Step 1: Multiply both sides of the first equation by 5 and the second equation by 2 to eliminate the x variable.
Step 2: Subtract the new second equation from the new first equation to eliminate the y variable.
Step 3: Solve for x and substitute the value of x back into one of the original equations to solve for y.
Therefore, the solution to the system of equations is x = -8 and y = -4.