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Solve the system by the addition method. 4x + 2y = 4 4x - 2y = 4 Select the correct choice below and, if...

Solve the system by the addition method.
4x + 2y = 4
4x - 2y = 4
Select the correct choice below and, if necessary, fill in the blank.
A. The solution is (Type an ordered pair.)
B. There are infinitely many solutions.
C. There is no solution.

Answer

First, add the two equations:

  1. 4x + 2y = 4
  2. 4x - 2y = 4

Adding them gives:

8x = 8

Solving for x:

x = 1

Substitute x = 1 into the first equation:

4(1) + 2y = 4

4 + 2y = 4

2y = 0

y = 0

The solution is:

A. The solution is (1, 0)

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