Algebra

Solution Of Simultaneous Equations
By The Substitution Method

One Linear Equation
One Quadratic Equation

CASE 1
Simultaneous Equations
One Linear - One Quadratic
The Same Variable Isolated In Both Equations
The Other Variable Squared
Format
y = x + d
y = ax² + bx + c
External Link See Example 1 On This Link
Note: need to spot use of this in questions
with a straight line and a curve intersecting

CASE 2
Simultaneous Equations
One Linear - One Quadratic
No Variable Isolated In Either Equation
One Of The Variables Squared
Format
x² + ay = b
y + cx = d

CASE 3
Simultaneous Equations
One Linear - One Quadratic
No Variable Isolated In Either Equation
Involves Both Of The Variables Squared
Format
x - y = a
x² + y² = b
Internal Link Worked Example
External Link See Example 2 On This Link

CASE 4
Simultaneous Equations
One Linear - One Quadratic
No Variable Isolated In Either Equation
Involves A Product Of The Two Variables
Format
xy = a
bx + cy = d