Use the substitution method to solve the system of equations. Choose the correct ordered pair.2x + 4y = 14x = 3A.(3, 5)B.(2, 3)C.(3, 2)D.(3, 12)SUBMITarrow_backPREVIOUS
Question
Use the substitution method to solve the system of equations. Choose the correct ordered pair.2x + 4y = 14x = 3A.(3, 5)B.(2, 3)C.(3, 2)D.(3, 12)SUBMITarrow_backPREVIOUS
Solution
Step 1: We are given that x = 3.
Step 2: Substitute x = 3 into the first equation. The first equation is 2x + 4y = 14.
Step 3: Replacing x with 3, we get 2(3) + 4y = 14, which simplifies to 6 + 4y = 14.
Step 4: Subtract 6 from both sides to isolate 4y. This gives us 4y = 14 - 6, which simplifies to 4y = 8.
Step 5: Divide both sides by 4 to solve for y. This gives us y = 8/4, which simplifies to y = 2.
So, the solution to the system of equations is x = 3 and y = 2. Therefore, the correct ordered pair is (3, 2), which corresponds to option C.
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