22.5k views
16 votes
How many solutions does this linear system of equations have?
x – 3y = 5
-3x + 9y = -7

User Elysee
by
3.6k points

1 Answer

9 votes

9514 1404 393

Answer:

zero

Explanation:

Dividing the second equation by -3, it becomes ...

x -3y = 7/3

Compared to the first equation, ...

x -3y = 5

we see that it is inconsistent. No values of the variables can satisfy both equations. There are no solutions.

User Pvl
by
3.7k points