Question

Solve the system of equations by graphing.
-1/3x + y = –1

Answer 1

Solve the system of equations by graphing.

`-(1)/(3)x + y=-1 \ and \ y=4+(1)/(3)x`

We solve first equation for y

`-(1)/(3)x + y=-1`

`y= (1)/(3)x - 1`

We make a table for each equation and then we graph it

x ----->
`y= (1)/(3)x - 1`

-3 -----> -2

0 -------> -1

3 -------> 0

Table for second equation

x ----->
`y=4+(1)/(3)x`

-3 -----> 3

0 -------> 4

3 -------> 5

Plot all the points on the grid and make a line

The graph is attached below.

Two lines are parallel to each other. So, no solution for system of equations.