Linear Simultaneous Equations - Substitution (AQA A-Level Mathematics): Flashcards
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Substitution method for simultaneous equations
Substitution method for simultaneous equations
Rearrange one eq. for a variable, substitute into other
First step of substitution method
First step of substitution method
Rearrange one equation to make a single variable the subject
Second step of substitution method
Second step of substitution method
Substitute the expression into the other equation
Equation type often resulting from substitution
Equation type often resulting from substitution
Quadratic equation
Step after solving for one variable
Step after solving for one variable
Substitute back to find the other variable
When calculator method is valid for quadratics
When calculator method is valid for quadratics
When full working is not required in the question
Solutions to ,
Solutions to ,
and
Solution to ,
Solution to ,
(- rac{1}{2}, -3)
One solution point for line and curve indicates
One solution point for line and curve indicates
The line is a tangent to the curve
Definition of a tangent to a curve
Definition of a tangent to a curve
A line that just touches the curve without cutting it