6x−3y=5 y−2x=8 How many solutions does the system have?
2 answers:
Answer:
no solution.
Step-by-step explanation:
We have been given the system of equations
6x-3y=5...(i)
y-2x=8...(ii)
Write both equations in slope intercept form y = mx +b
For equation (i)
The slope is 2 and the y- intercept is -5/3
For equation (ii)
The slope is 2 and the y-intercept is 8
Since, both the equations have equal slope and different y - intercepts. Hence, the lines are parallel.
Therefore, we can say that the system have no solution.
You might be interested in
Since the graph is a linear function, we're going to use the slope formula solve this:
Note I am replacing m with k
Inserting 2 points from the graph, let's use (1,8) and (2,16).
k=8
Note I am replacing m with k
Inserting 2 points from the graph, let's use (1,8) and (2,16).
k=8
The given equation is,
Thus, option (C) is the correct solution.