Answer: x = 1, y = 4
Explanation:
First, you would need to set the equations equal to each other.
y = 3x + 1 and y = -2x + 6
They can be set equal to each other because they are equal to the same y.
So, you would get the equation:
3x + 1 = -2x + 6
From there, solve for x.
3x + 2x = 6 - 1
5x = 5
x = 1
Now, plug that x-value into the original equations to get y.
y = 3(1) +1
= 3 + 1
= 4
Plug the x-value into the other equation and if you get the same answer, you're correct!
y = -2(1) + 6
= -2 + 6
= 4
So, as an ordered pair (in the form [x, y]), the answer would be (1, 4).