Hello!
[tex]\large\boxed{B. \text{ } One}[/tex]
2x - y = 6
3x + 5y = -17
Solve systems of equations by elimination.
The easiest variable to eliminate would be y since we can simply multiply the first equation by 5:
5(2x - y = 6)
3x + 5y = -17
10x - 5y = 30
3x + 5y = -17
Eliminate y by adding both equations to each other:
10x - 5y = 30
3x + 5y = -17
-------------------
13x + 0y = 13
13x = 13
13x/13 = 13/13
x = 1
Therefore, there is only ONE solution to this system of equations because we only could derive one solution.
