Answered

IDNLearn.com: Where your questions meet expert answers and community support. Discover prompt and accurate answers from our community of experienced professionals.

What are the solutions to the system of equations?

What Are The Solutions To The System Of Equations class=

Sagot :

Coolstickidn

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)

Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. For clear and precise answers, choose IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.