SAT Math / Linear Relationships

Solving Systems in Desmos

Part of the full libraryOpens January 2, 2027 · $97 for a year
What’s included

You’ll leave with these skills

  1. Solve a system of two equations from one Desmos graphType each equation in its own input box in Desmos and click the point where the graphs cross to get the x- and y-values that solve both.
  2. Find the value of x + y or x − y for a system’s solutionClick the point where the lines cross and put its x-value and y-value into the expression the question asks for.
  3. Count the solutions of a system of two linear equationsFor nonvertical lines, compare slopes and y-intercepts. Different slopes give one crossing; equal slopes give parallel or identical lines. A vertical line crosses every nonvertical line once. Two vertical lines are either distinct or identical.
  4. Find every point where a line crosses a parabolaClick every point where the line crosses the parabola, then match the x-value of one of those points to the answer choices.

This lesson is part of the full library

207 lessons that teach every skill the SAT tests
  • 71Math
  • 40Reading
  • 24Grammar
  • 10 full-length practice tests to build test-day stamina and confidence
  • A Desmos simulator to solve math questions faster
  • A step-by-step guide to every practice test question
  • The Bluebook Simulator, so test day feels familiar
  • A drawing for every key term, so new ideas make sense at a glance

Explore the full library