Mathematics·Algebra·conceptual
Simultaneous Equations
Understand that two linear equations can be solved simultaneously by finding the point where their graphs intersect, and interpret this graphically and algebraically as the pair of values satisfying both equations
Suggested ages 13–14
Evidence of understanding
- Explain that the intersection of two lines represents values satisfying both equations
- Find the approximate solution to a pair of simultaneous equations by reading a graph
- Verify a proposed solution by substituting into both equations
Assessment prompt
Can Simultaneous Equations explain that solving two equations simultaneously means finding the one pair of values that satisfies both at once — and show what that looks like on a graph?
Standards alignment
8.EE.8aUS · ccss-math
Systems of linear equations and intersections
Common Core State Standards for Mathematics · 8
8.EE.8bUS · ccss-math
Solving systems of linear equations algebraically
Common Core State Standards for Mathematics · 8
KS3.Maths.Alg.10GB · uk-nc-2013
Interpret Mathematical Relationships
The national curriculum in England: Key stages 1 and 2 framework document · Key Stage 3