Solving Systems of Equations by Graphing | Integrated Math 1 (2026 Update) скачать в хорошем качестве

Solving Systems of Equations by Graphing | Integrated Math 1 (2026 Update)

In this video, we learn how to solve systems of linear equations by graphing. A system is two (or more) equations with the same variables, and for linear systems each equation graphs as a line. The solution is the point where the lines intersect. We also cover the three possible outcomes when graphing two lines: one solution (intersecting), no solution (parallel), and infinitely many solutions (same line). Along the way, we practice putting equations into slope-intercept form y=mx+b, graphing using slope and y-intercept, and interpreting solutions in a real-world reading-rate problem. 🔗 Visit www.clopensets.com for full class videos, guided notes, and printable worksheets that go along with this lesson. 🔗 ClopenSets shop: https://www.etsy.com/shop/Clopensets #education #maths #math #highschoolmath #highschool Chapters 00:00 What is a system of equations? (linear systems) 00:25 Graphing method: intersection = solution 00:55 Three outcomes: one / none / infinite solutions 01:15 How to tell from equations (slopes & intercepts) 01:55 Example 1: Solve by graphing (slope-intercept form) 02:40 Example 2: Convert to slope-intercept, then graph 04:12 Example 3: Parallel lines → no solution 05:10 Example 4: Same line → infinitely many solutions 06:00 Application: reading pages problem (write system + interpret) 07:30 Interpret intersection (days & pages) + finishing time for each reader