Question

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

Answer 1

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.