Use the elimination method to solve the system of equations. Choose the correct ordered pair.6x + 4y = 32–6x + 4y = 8A.(4, 2)B.(0, 8)C.(1, 5)D.(2, 5)SUBMITarrow_backPREVIOUS
Question
Use the elimination method to solve the system of equations. Choose the correct ordered pair.6x + 4y = 32–6x + 4y = 8A.(4, 2)B.(0, 8)C.(1, 5)D.(2, 5)SUBMITarrow_backPREVIOUS
Solution
To solve the system of equations using the elimination method, follow these steps:
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Align the equations:
6x + 4y = 32 -6x + 4y = 8
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Add the equations together. The x terms will cancel out:
(6x - 6x) + (4y + 4y) = 32 + 8 0x + 8y = 40 8y = 40
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Solve for y by dividing both sides of the equation by 8:
y = 40 / 8 y = 5
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Substitute y = 5 into the first equation:
6x + 4(5) = 32 6x + 20 = 32 6x = 32 - 20 6x = 12
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Solve for x by dividing both sides of the equation by 6:
x = 12 / 6 x = 2
So, the solution to the system of equations is (2, 5), which corresponds to option D.
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