Question

5 CR

UTION
Abed says he has written a system of two linear equations that has an infinite number of solutions. One of the
equations of the system is y = 3x – 1. Which could be the other equation?
y = 3x + 2
3x - y = 2
3x - y = 1
3x + y = 1
Done

Answer 1

3x - y = 1

Explanation:

The system:

`$\left \{ {{y = 3x -1} \atop {y = 3x + 2}} \right. $`

There is no solution to this system of equations.

The system:

`$\left \{ {{y = 3x -1} \atop {3x - y = 2}} \right. $`

`$\left \{ {{y = 3x -1} \atop { y = 3x-2}} \right. $`

The is one solution to this system.

The system:

`$\left \{ {{y = 3x -1} \atop {3x - y = 1}} \right. $`

`$\left \{ {{y = 3x -1} \atop { y = 3x-1}} \right. $`

There are infinity solutions to the system.

The system:

`$\left \{ {{y = 3x -1} \atop {3x + y = 1} \right. $`

`$\left \{ {{y = 3x -1} \atop { y = 1-3x}} \right. $`

The is one solution to this system.