Final answer:
To solve the system of equations using the elimination method, multiply the second equation by 4 to cancel out the variable 'x'. Add the resulting equation to the first equation to eliminate 'x'. Finally, solve for 'y' by adding 'x' to both sides.
Step-by-step explanation:
To solve the system of equations using the elimination method, we will eliminate one variable by adding the two equations together. Multiply the second equation by 4 to make the coefficients of 'x' in both equations cancel each other out.
4x + 8y = 16
-4x + y = 11
After multiplying the second equation by 4, we get -16x + 4y = 44. Now add this equation to the first equation:
4x + 8y -16x + 4y = 16 + 44
-12x + 12y = 60
Simplify the equation to get -x + y = 5. Now solve for 'y' by adding 'x' to both sides:
-x + y + x = 5 + x
y = 5 + x
This is the solution for the system of equations using the elimination method.