186k views
2 votes
Explain how you can determine that the following system has one unique solution – without actually solving the system.

2x+y=4
2y=6-2x

User Waclock
by
7.5k points

1 Answer

4 votes

Answer:

Explanation:

Well, first you'd have to get the equations in slope-intercept form in order to make it easier for you to see it in the bigger picture. 2x+y=4 would be y= 2x-4, and the other equation would be y= x-3. If you were to solve it, there would be one solution since the y's cancel out. If you graphed it, there would be a point of intersection, unlike when the lines are parallel if there's 0 solutions or only one line's there if there's infinitely many solutions.

User UrMi
by
7.1k points