Solving Simultaneous Equations Graphically

Learn how to solve simultaneous equations, like x+y=20x + y = 20 and xy=10x − y = 10, by drawing the lines and finding where they intersect. Let’s get started! 🚀

Solving Simultaneous Equations Graphically - introduction visual

Video Lesson

Watch and learn the basics

Flashcards

Review key concepts visually

System of linear equations representing Sebastian's and Sarah's ages with equations x + y = 20 and x - y = 10.Solving a system of equations graphically, transforming and plotting the equations y = -x + 20 and y = x - 10 to find their intersection at (15, 5).Three graphical linear equations showing one solution (intersection), no solution (parallel lines), and infinite solutions (overlapping lines).

🛎️ Systems of Linear Equations

  • When x + y = 20 and x − y = 10 form a system, they are solved together.
  • We look for x and y values that make both equations true at the same time.

🛎️ Solving a System Graphically

  • Rearrange both equations into y = mx + c form.
  • Plot both lines and find where they intersect.
  • The point of intersection is the solution of the system.

🛎️ Solutions of a Linear System

  • There is one solution if the lines intersect once.
  • There is no solution if the lines are parallel.
  • There are infinite solutions if the lines overlap exactly.

Practice Questions

Test your understanding

Interactive Activity

Find the intersection of the two lines

Loading interactive widget...

Course Overview
Next Lesson

Click here to open ChatCat

© 2026 Maths Angel. All rights reserved.