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Use the elimination method to solve the system of equations. Choose the correct ordered pair.7x + 4y = 392x + 4y = 14A.(5, 1)B.(5, 4)C.(3, 4)D.(3, 2)

Question

Use the elimination method to solve the system of equations. Choose the correct ordered pair.

7x+4y=39 7x + 4y = 39 2x+4y=14 2x + 4y = 14

A. (5, 1)
B. (5, 4)
C. (3, 4)
D. (3, 2)

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Solution

To solve the system of equations using the elimination method, follow these steps:

  1. Align the equations:

    7x + 4y = 39 2x + 4y = 14

  2. Subtract the second equation from the first to eliminate y:

    (7x + 4y) - (2x + 4y) = 39 - 14 5x = 25

  3. Solve for x:

    x = 25 / 5 x = 5

  4. Substitute x = 5 into the second equation to solve for y:

    2x + 4y = 14 2(5) + 4y = 14 10 + 4y = 14 4y = 14 - 10 4y = 4 y = 4 / 4 y = 1

So, the solution to the system of equations is (5, 1). Therefore, the correct answer is A.(5, 1).

This problem has been solved

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