Question

Question 2 of 10

2 Points
Graph the system of equations below on a piece of paper. What is the
solution?
y= x-1
y= 3x + 1
O A. (-1,-1)
O
B. (2.1)

Answer 1

(-1, -2)

The graphical solution is shown below.

Explanation:

Given:

The equations are given as:

`y= x-1\\y= 3x + 1`

Draw each line on the graph.

For plotting we find their x and y intercepts.

Line 1:
`y= x-1`

x-intercept: At
`y=0,x=y+1=0+1=1`. So, (1, 0)

y-intercept: At
`x=0,y=0-1=-1`. So, (0, -1)

Draw a line passing through the points (1, 0) and (0, -1).

Line 2:
`y=3x+1`

x-intercept: At
`y=0,0=3x+1;\ x = (-1)/(3)`. So,
`((-1)/(3), 0)`

y-intercept: At
`x=0,y=0+1=1`. So, (0, 1)

Draw a line passing through the points
`((-1)/(3), 0)` 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).