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.
A. (5, 1)
B. (5, 4)
C. (3, 4)
D. (3, 2)
Solution
To solve the system of equations using the elimination method, follow these steps:
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Align the equations:
7x + 4y = 39 2x + 4y = 14
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Subtract the second equation from the first to eliminate y:
(7x + 4y) - (2x + 4y) = 39 - 14 5x = 25
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Solve for x:
x = 25 / 5 x = 5
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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).
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