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Solve by the elimination method:
4x + 8y = 16
-4x + y = 11

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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.

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