Final answer:
The point (1, 10) is checked by substituting the x-value into both equations of the system. Since the y-value is consistent with the point in both equations, (1, 10) is indeed a solution to the system of equations.
Step-by-step explanation:
The subject of this question is determining whether a given point is a solution to a system of equations. Specifically, the question is asking if the point (1, 10) is a solution to the following system of equations:
To determine if (1, 10) is a solution, we can plug the x-value of the point, which is 1, into both equations, and then check if the resulting y-value is equal to 10 in each case.
- For the first equation y = 9x + 1:
y = 9(1) + 1 = 9 + 1 = 10
- For the second equation y = x + 9:
y = (1) + 9 = 1 + 9 = 10
Since the y-value is 10 for both equations when x is 1, the point (1, 10) is indeed a solution to the system of equations.