x+y=3

Here are some quick notes about x + y = 3:

• It’s a single linear equation in two variables, so there are infinitely many solutions (a line in the plane).
• Solve for one variable:
  • y = 3 − x
  • x = 3 − y
• Intercepts and slope:
  • x-intercept: (3, 0)
  • y-intercept: (0, 3)
  • Slope: −1 (since y = −x + 3)
• If you want integer solutions: (x, y) = (t, 3 − t) for any integer t.
  • Nonnegative integer solutions: (0,3), (1,2), (2,1), (3,0)

What would you like to do with this equation (solve for a variable, graph it, or use with another equation)?