Final answer:
To solve the system of equations using elimination, multiply the second equation by 2 and add the equations together to eliminate the y variable. Solve for x and substitute the value of x back into one of the original equations to solve for y.
Step-by-step explanation:
To solve the system of equations 6x + 2y = 10 and 10x - y = -2 using elimination, multiply the second equation by 2 to make the coefficients of y in both equations equal.
The resulting system of equations is 6x + 2y = 10 and 20x - 2y = -4. Add the equations together to eliminate the y variable and solve for x. Substitute the value of x back into one of the original equations to solve for y.