Answer:
[tex]\begin{gathered} x\text{ = -0.5} \\ y\text{ = 5} \end{gathered}[/tex]Explanation:
Here, we want to solve the system of linear equations graphically, then we proceed to check for the solution
To do this, we have to plot the graph of the two equations on the same plot, the point at which these lines intersect would be the solution to the system of linear equations
We have the plot shown as follows:
From what we have on the plot, the solution to the system is x = -0.5 and y =5 . The reasonn for this is that it is at this point that both lines intersect
Now, let us check the solution:
We can check the solution by substituting -0.5 for x and 5 for y in both equations
For the first one:
[tex]\begin{gathered} 2(-0.5)\text{ + 5 = 4} \\ -1\text{ + 5 = 4} \\ 4\text{ = 4} \end{gathered}[/tex]We can see that th solution works for the first equation
For the second one, we proceed with the same substitution process
We have this as:
[tex]\begin{gathered} 5-2(-0.5)\text{ = 6} \\ 5\text{ + 1 = 6} \\ 6\text{ = 6} \end{gathered}[/tex]We can see the solution works for the second equation too
