Question

Which system has no solution?

y = 9x + 6.25
y = 4.5x - 5
y = -3x + 8
6x + 2y = -4.5
y = 3x + 9
x + 8y = 12.3
-18x + 2y = 12.5
-3x + 2y = 6

Options:
a) y = 9x + 6.25
b) y = -3x + 8
c) 6x + 2y = -4.5
d) x + 8y = 12.3

Answer 1

The system with no solution is option c) 6x + 2y = -4.5.

Step-by-step explanation:

The system that has no solution is option c) 6x + 2y = -4.5. To determine whether a system of equations has a solution, we can look at the slopes of the lines and their y-intercepts. If the slopes are equal and the y-intercepts are different, the system has no solution, as the lines are parallel and will never intersect.