Answer: x = 0, Y = 2
x = 1, Y = 5
Step-by-step explanation:
Y = −3x^2 + 6x + 2
Y = 3x + 2
We can set the two equations equal to each other, since they both equal Y:
−3x^2 + 6x + 2 = 3x + 2
−3x^2 + 3x = 0
3x(-x + 1) = 0
This gives us two possible solutions:
x = 0
x = 1
When x = 0, Y = 3(0) + 2 = 2
When x = 1, Y = 3(1) + 2 = 5
Therefore, the solutions to the system of equations are:
x = 0, Y = 2
x = 1, Y = 5