Answer:
(-1, -2)
The graphical solution is shown below.
Step-by-step explanation:
Given:
The equations are given as:
[tex]y= x-1\\y= 3x + 1[/tex]
Draw each line on the graph.
For plotting we find their x and y intercepts.
Line 1: [tex]y= x-1[/tex]
x-intercept: At [tex]y=0,x=y+1=0+1=1[/tex]. So, (1, 0)
y-intercept: At [tex]x=0,y=0-1=-1[/tex]. So, (0, -1)
Draw a line passing through the points (1, 0) and (0, -1).
Line 2: [tex]y=3x+1[/tex]
x-intercept: At [tex]y=0,0=3x+1;\ x = \frac{-1}{3}[/tex]. So, [tex](\frac{-1}{3}, 0)[/tex]
y-intercept: At [tex]x=0,y=0+1=1[/tex]. So, (0, 1)
Draw a line passing through the points [tex](\frac{-1}{3}, 0)[/tex] and (0, 1).
The point of intersection of the two lines is the graphical solution of the 2 lines. The point of intersection is at the point (-1, -2).
