Answer:
(1,5) and (5, 13)
Step-by-step explanation:
One way to solve this could be to solve for y in one equation and plug that into the other one.
As both equations are equal to y, we can say that
x²-4x+8 = 2x + 3
subtract 2x from both sides
x²-6x + 8 = 3
subtract 3 from both sides
x²-6x+5=0
Since -5 and -1 add to -6 and multiply to 5, we can factor out our equation to be
(x-5)(x-1) = 0
Therefore, solving for when the equation equals 0, x=5 and x=1. We can confirm this by plugging it into the equation x²-6x+5=0
Plugging this into an equation, we can solve for y.
2(5) + 3 = 13, so one answer is (5, 13)
2(1) + 3 = 5, so one answer is (1, 5)
