Question

System of equations- does this have one solution, many solutions or no solution

y=4x+6
y=6-3x

Answer 1

One solution

Explanation:

Let's rewrite y = 6 - 3x as y = -3x + 6

Looking at these two equations, we can see they share a y-intercept

Making our solution 6

We know there is only one solution because the equations are not the exact same, if they were we'd have infinitely many solutions

We also know there aren't no solutions because the lines are not parallel (same slopes with difference y-intercepts)

Best of luck