How do you determine whether a linear system has one solution, many solutions, or no solution when given x= y - 11 and x - 3y = 1 ?
1 Answer
Oct 16, 2015
See the explanation for one way to do this.
Explanation:
Put both equations in slope-intercept form (
The first line has equation
The second has
The slopes are not equal, so the lines are not parallel (no solutions) and the lines do not coincide (infinitely many solution).
The lines have one point of intersection. The system has one solution.
