Solve for x and y : x^2-y^2=4; x+y=2

Expert Answers

An illustration of the letter 'A' in a speech bubbles

x^2 - y^2 = 4

x + y = 2

This system can also be solved graphically.  First, set each equation to the form y=

x^2 - y^2 = 4          y = sqrt(x^2 - 4)

x + y = 2                 y = 2 - x

Here is the graph:

The point of intersection of the two graphs is (2, 0).

Therefore, x = 2 and y = 0.

If you do not have a graphing calculator, refer to the attached website.  It will graph equations and calculate the point of intersection.

 

Approved by eNotes Editorial Team

Posted on

Soaring plane image

We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

  • 30,000+ book summaries
  • 20% study tools discount
  • Ad-free content
  • PDF downloads
  • 300,000+ answers
  • 5-star customer support
Start your 48-Hour Free Trial