Answer:
The solution of the given system of equations is (-6.667,7.667).
Step-by-step explanation:
The given equations are
[tex]x+y=1[/tex] ...(1)
[tex]4x+y=-19[/tex] ....(2)
put x=0 to find the y-intercept.
[tex]0+y=1[/tex]
[tex]y=1[/tex]
Therefore y-intercept of equation (1) is (0,1).
[tex]4(0)+y=-19[/tex]
[tex]y=-19[/tex]
Therefore y-intercept of equation (2) is (0,-19).
put y=0 to find the y-intercept.
[tex]x+0=1[/tex]
[tex]x=1[/tex]
Therefore x-intercept of equation (1) is (1,0).
put y=0 to find the y-intercept.
[tex]4x+(0)=-19[/tex]
[tex]x=-\frac{19}{4}[/tex]
Therefore x-intercept of equation (1) is (-4.75,0).
Draw the graph of both lines by joining their x and y-intercept.
From the graph it is noticed that both the line intersect each other at (-6.667,7.667).
Therefore solution of the given system of equations is (-6.667,7.667).
