Answer:
No solution
Explanation:
Given the system
[tex]\begin{gathered} -x+2y=4 \\ y=\frac{1}{2}x+3 \end{gathered}[/tex]
Graph the first equation -x+2y = 4.
Identify two points on the line. Plot and join them to get the graph of the line.
When x = 0, y =2. First point is (0, 2).
When y = 0, x = -4. Second point is (-4, 0).
Now, graph the second equation y= (1/2)x+3.
Identify two points on the line. Plot and join them to get the graph.
When x = 0, y = 3. First point is (0, 3).
When y = 0, x = -6. Second point is (-6, 0).
The graph of both lines are parallel, that is, not intersecting anywhere. Hence the system has no solution.
