Final Answer:
No, the ordered pair (-3, 4) is not a solution to the equation x² + y = 13.
Step-by-step explanation:
In the given equation x² + y = 13, we can substitute the values from the ordered pair (-3, 4) to check for its validity. Substituting x = -3 and y = 4 into the equation, we get (-3)² + 4 = 9 + 4 = 13. However, this result is not equal to the right side of the equation, which is 13. Therefore, the ordered pair does not satisfy the given equation.
To elaborate, the equation x² + y = 13 represents a relation between x and y such that the sum of the square of x and y should equal 13. When we substitute x = -3 and y = 4 into the equation, we find that the left side yields 13, but it doesn't match the right side. This mismatch indicates that the ordered pair does not satisfy the equation.
In summary, the ordered pair (-3, 4) does not constitute a solution to the equation x² + y = 13. The verification process through substitution clearly shows that the given values for x and y do not make the equation true, emphasizing the importance of checking solutions to ensure mathematical accuracy.