Answer:
No Solution
Explanation:
Given the system of equations:
[tex]\begin{gathered} y-2x=4 \\ y=5+2x \end{gathered}[/tex]
First, graph each equation using the x and y-intercepts.
Equation 1
[tex]\begin{gathered} y-2x=4 \\ \text{When }x=0,y=4\implies\text{Point (0,4)} \\ \text{When y}=0,x=-2\implies\text{Point (-2,0)} \end{gathered}[/tex]
Join the points (0,4) and (-2,0) as done below:
Equation 2
[tex]\begin{gathered} y=5+2x \\ \text{When }x=0,y=5\implies\text{Point (0,5)} \\ \text{When y}=0,x=-2.5\implies\text{Point (-2.5, 0)} \end{gathered}[/tex]
Join the points (0,5) and (-2.5, 0) as done below:
We observe that the two lines are parallel.
Therefore, the system of equations has No Solution.
