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PPT lesson summary · Foundation PPT · CIE Core

Simultaneous Equations PPT lesson summary

Simultaneous Equations PPT lesson — Foundation (CIE Core). These slides walk a lower-secondary class through the key ideas with diagrams and worked examples on screen. This page summarises the teaching points for search and revision; download the PowerPoint for the full lesson, and use the companion worksheet and answers PDFs for independent practice.

Files: foundation-slides-01M65KZRZ8WJTPPPT4HSE8DN63.pptx · foundation-30 Simultaneous Equations handout.pdf · foundation-30 Simultaneous Equations handout answers.pdf · free public downloads · diagrams on the slides

Key learning points

  • Elimination: make one coefficient match, then add/subtract.
  • Substitution: rearrange one equation and replace in the other.
  • Graphically: intersection of two lines.

Worked example 1 — Elimination

Solve x+y=7x+y=7, x−y=1x-y=1.

Working

x=4, y=3x=4,\ y=3

Add to eliminate yy.

Worked example 2 — Substitution

Solve y=2x+1y=2x+1, x+y=7x+y=7.

Working

x=2, y=5x=2,\ y=5

Substitute for yy.

Worked example 3 — Scaled elimination

Solve 2x+3y=122x+3y=12, x+y=5x+y=5.

Working

x=3, y=2x=3,\ y=2

Match coefficients, then subtract.

Full slides and practice PDFs

This page is a short, searchable overview of the PPT lesson for revision and search engines. Download the PowerPoint for classroom teaching, then use the companion worksheet and answers when available.