To determine the solution of the given system of equations, we need to analyze the equations:
1. \( y = -2x + 5 \)
2. \( y = -2x + 20 \)
Both equations have the same slope, \(-2\), but different y-intercepts (5 and 20 respectively). Since the slopes are the same but the y-intercepts are different, these lines are parallel and will never intersect.
Since parallel lines do not intersect, there is no solution to this system of equations.
Therefore, the answer is:
**no solution**
14.
What is the solution of the system of equations?
y = –2x + 5
y = –2x + 20
(1, 3)
infinitely many solutions
no solution
(0, 20)
1 answer
1 answer