Please Help I'LL FAN & MEDAL!!! :)

How many solutions does the system of equations have?

y = x + 5
y = 2x + 3

A.
The system has exactly one solution.

B.
The system has infinitely many solutions.

C.
The system has no solution.

Question

Please Help I'LL FAN & MEDAL!!! :)

 
	

How many solutions does the system of equations have?

y = x + 5
y = 2x + 3
		
  
	
	
 
A.
	The system has exactly one solution.
	
 
B.
	The system has infinitely many solutions.
	
 
C.
	The system has no solution.

lyrae · Answer

Those functions are lines (y = mx + b).

Notice how they have different m-values (1 and 2). This means that the lines in this case are nonparallel and will interesect in one point.

The solution of a system of equation is the point(s) where the functions in the system intersect(s).