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Which ordered pair is a solution of the equation y = 4x+3?

A. (3, 12)
B. (2, 11)
C. (0, 4)
D. (4,3)

User Yakeen
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1 Answer

1 vote

Final answer:

The correct ordered pair that is a solution to the equation y = 4x+3 is B. (2, 11), as it satisfies the equation when we substitute the x-value from the pair.

Step-by-step explanation:

The student is asking which ordered pair is a solution to the equation y = 4x+3. To find the solution, we substitute the x-value from each ordered pair into the equation and see if the resulting y-value matches the one given in the pair.

For (3, 12), if we substitute x = 3 into the equation, we get y = 4(3) + 3, which equals 15, not 12. So, this is not the correct solution.

For (2, 11), substituting x = 2 gives us y = 4(2) + 3, which equals 11. This matches the y-value of the ordered pair, so (2, 11) is the correct solution.

For (0, 3), if we substitute x = 0 into the equation, we get y = 4(0) + 3, which equals 3, not 4. Hence, it is incorrect.

For (4, 3), substituting x = 4, we get y = 4(4) + 3, which equals 19, not 3. Therefore, this is not the solution.

Thus, the correct answer is B. (2, 11), as it satisfies the given equation.

User Amrin
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