Use the elimination method to solve the system of equations. Choose the correct ordered pair.4x + 8y = 164x – 8y = 0A.(4, 0)B.(4, 2)C.(2, 4)D.(2, 1)

Question

$4x + 8y = 16$
$4x - 8y = 0$

A. (4, 0)
B. (4, 2)
C. (2, 4)
D. (2, 1)

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Step 1: Write down the system of equations

The system of equations is:

4x + 8y = 16 4x - 8y = 0

Step 2: Add the equations

By adding the two equations, we can eliminate y:

(4x + 8y) + (4x - 8y) = 16 + 0 8x = 16

Step 3: Solve for x

Divide both sides of the equation by 8 to solve for x:

8x / 8 = 16 / 8 x = 2

Step 4: Substitute x = 2 into the first equation

Substitute x = 2 into the first equation to solve for y:

4(2) + 8y = 16 8 + 8y = 16 8y = 16 - 8 8y = 8

Step 5: Solve for y

Divide both sides of the equation by 8 to solve for y:

8y / 8 = 8 / 8 y = 1

So, the solution to the system of equations is (2, 1), which corresponds to answer choice D.

This problem has been solved

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