What are the solutions to the system of equations?

(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)

sss (side, side, side)

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aas (angle, angle, side)

hl (hypotenuse, leg)