Answer:
See attachment
Step-by-step explanation:
The given system is :
[tex]y = - x + 5[/tex]
[tex]y = \frac{1}{4}x + 10[/tex]
Let us equate both equations and solve for x.
[tex] - x + 5 = \frac{1}{4}x + 10[/tex]
[tex] - 4x + 20 = x + 40[/tex]
[tex]20 - 40 =x + 4x[/tex]
[tex] - 20 = 5x[/tex]
[tex]x = - 4[/tex]
[tex]y = - - 4 + 5 = 9[/tex]
The the two lines of this system will meet at (-4,9)
The graph is shown in the attachment.
