x = -2y + 300
3y = 800 - 4x
Which statement about the pair of equations is true?

A)
The equation pair has no solutions.
Eliminate
B)
The equation pair has many solutions.
C)
The equation pair has exactly 1 solution.
D)
The equation pair has exactly 2 solutions.

Question

x = -2y + 300
3y = 800 - 4x
Which statement about the pair of equations is true?
	
A)
The equation pair has no solutions.	
Eliminate
B)
The equation pair has many solutions.	
C)
The equation pair has exactly 1 solution.	
D)
The equation pair has exactly 2 solutions.

anonymous · Answer

if we write the  equations in this slope form :

y = -x/2 + 150
y = -4x/3 + 266.66

we can see that they have different slopes
so the system will have one solution.