Answer:
One solution
Step-by-step explanation:
We have the system
[tex]y=5x-1\\y=-3x+7[/tex]
To solve the system, equate both equations and solve for the variable x.
[tex]5x-1= -3x+7\\\\5x + 3x = 7 +1\\\\8x = 8\\\\x=1[/tex]
Now substitute the value of x in any of the two equations and solve for the variable y.
[tex]y=5(1)-1[/tex]
[tex]y=4[/tex]
Finally the system of equations has one solution
