Simultaneous equations (Edexcel GCSE Maths): Flashcards
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12 cards from this deck
Simultaneous equations definition
Simultaneous equations definition
Pairs of equations with two unknown variables
Goal of solving simultaneous equations
Goal of solving simultaneous equations
Find values making both equations true simultaneously
Two methods for solving simultaneous equations
Two methods for solving simultaneous equations
Algebraic (elimination/substitution) & graphical
Algebraic method Step 2
Algebraic method Step 2
Multiply to make coefficients of one unknown same
Algebraic method Step 3
Algebraic method Step 3
Add/subtract equations to eliminate one unknown
Algebraic method Step 4
Algebraic method Step 4
Substitute found value to find other unknown
Algebraic method Step 5
Algebraic method Step 5
Check answer in original equations
Graphical method procedure
Graphical method procedure
Draw both equation graphs on same coordinate grid
Solution location in graphical method
Solution location in graphical method
Point of intersection of the lines
Tip: Unknowns with different signs
Tip: Unknowns with different signs
Add equations together to eliminate
Why use smallest multipliers
Why use smallest multipliers
Reduces chance of arithmetic errors
Most accurate method for exact answers
Most accurate method for exact answers
Algebraic method