Answer-
The coordinates of the solution to the system of equations is (4, -3)
Solution-
According to the graph the equations are,
[tex]y=-\frac{1}{2}x-1\\\\y=\frac{1}{4}x-4[/tex]
We can get the coordinates of the solution to the system of equations, by substitution.
[tex]\Rightarrow y=\frac{1}{4}x-4[/tex]
Putting the value of y in first equation,
[tex]\Rightarrow \frac{1}{4}x-4=-\frac{1}{2}x-1[/tex]
[tex]\Rightarrow \frac{1}{4}x+\frac{1}{2}x=-1+4[/tex]
[tex]\Rightarrow \frac{3}{4}x=3[/tex]
[tex]\Rightarrow x=3\times \frac{4}{3}[/tex]
[tex]\Rightarrow x=4[/tex]
Putting the value of x in the first equation,
[tex]y=-\frac{1}{2}\times 4-1=-2-1=-3[/tex]
Therefore, the coordinates of the solution to the system of equations is (4, -3)
