Answer:
Step-by-step explanation:
Let's reformat both equations so that [tex]y[/tex] is by itself on each side:
[tex]y = -3x + 1[/tex]
[tex]y = 2x + 6[/tex]
Since we [tex]y[/tex] isolated to one side in both equations, we know the right-hand sides must be equal:
[tex]-3x + 1 = 2x + 6[/tex]
Solving for [tex]x[/tex] will give us the x-coordinate of the point of intersection:
[tex]-5x = 5[/tex]
[tex]x = -1[/tex]
Plugging in this x-coordinate to either of the above equations will give us the y-coordinate of the point of intersection:
[tex]y = -3(-1) + 1[/tex]
[tex]y = 4[/tex]
Therefore, the point of intersection is [tex](-1, 4)[/tex]
