Answer :
Final answer:
The value of the x-coordinate in the given system of equations is infinitely many solutions. Hence the correct option is (D).
Explanation:
To solve the system of equations:
7x - 3y = -23
-14x + 6y = 46
We can start by multiplying the second equation by 2 to make the coefficients of x in both equations cancel each other out:
14x - 6y = 92
Now, we can add the two equations together:
(7x - 3y) + (14x - 6y) = (-23) + (92)
21x - 9y = 69
Next, we can divide both sides of the equation by 3 to simplify:
7x - 3y = 23
21x - 9y = 69
Now, we can subtract the first equation from the second equation:
(21x - 9y) - (7x - 3y) = 69 - 23
14x - 6y = 46
Since this equation is the same as the second equation given in the question, we can conclude that the system of equations has infinitely many solutions.
Therefore, the value of the x-coordinate can be any real number. The correct answer is D. Infinitely many solutions.
Learn more about solving a system of equations here:
https://brainly.com/question/29050831
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