96.7k views
17 votes
HELP ASAP I GIVE BIG BRAIN!! does the system of equations have no solution, one solution, or an infinite number of solutions?

y+1=3x
2y=6x−2

1 Answer

12 votes

Answer:

No solutions

Explanation:

Slope-intercept form of a linear equation: y = mx + b

(where m is the slope and b is the y-intercept)

Rewrite both equations so that they are in slope-intercept form:

y + 1 = 3x

⇒ y = 3x + 1

2y = 6x − 2

⇒ y = 3x - 1

Both equations have the same slope which means they are parallel.

Parallel lines never intersect, so they have no solutions.

User Slkorolev
by
7.7k points

Related questions

asked Nov 20, 2024 34.6k views
Paul Allsopp asked Nov 20, 2024
by Paul Allsopp
7.7k points
1 answer
3 votes
34.6k views
1 answer
5 votes
198k views