System of Linear Equations with No Solution
The image shows a system of linear equations:
3x − y = 3
3x − y = 4
To determine the solution to the system, we can compare the two equations directly. Both equations have the same coefficients for x and y, but different constant terms (3 and 4, respectively). This means that the two lines represented by these equations are parallel.
Because they are parallel, they never intersect, which means there is no point (x,y) that satisfies both equations simultaneously. Therefore, the system has no solution.
Checking the answer options, the correct choice would be:
(B) The system has no solution.
