Question

Olve the system: 3x - 7y = -24, 3x - 7y = -18. Which statement is true?

a) The system has no solution.
b) The system has infinitely many solutions.
c) The system has a unique solution.
d) The system has two distinct solutions.

Answer 1

The system has infinitely many solutions.

Step-by-step explanation:

To solve the system of equations 3x - 7y = -24 and 3x - 7y = -18, we can see that both equations have the same coefficients for x and y. This means that the two equations represent the same line, and therefore they are equivalent.

Since the two lines are the same, they intersect at every point and have infinitely many solutions.

Therefore, the statement (b) The system has infinitely many solutions is true.