SS2 First Term Mathematics Lesson Note – Simultaneous Linear and Quadratic Equation

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WEEK 6:      

TOPIC: Simultaneous Linear and Quadratic Equation

Content:

• Simultaneous linear equations (Revision).
• Solution to linear and quadratic equations.
• Graphical solution of linear and quadratic equations.
• Word problems leading to simultaneous equations.
• Gradient of curve.

SIMULTANEOUS LINEAR EQUATIONS (REVISION)

Simultaneous linear equations (revision)

Recall: Simultaneous means happening or done at the same time i.e. following each other. It can be solved either graphically or algebraically. Algebraically involves using either substitution or elimination methods

Example 1: Solve the following pairs of simultaneous equation

2x-y=8

3x+y=17

Solution:

ELIMINATION METHOD

(a) 2x-y=8 , 3x+y=17

On adding both equations, we have

5x=25

x=5

Substituting for x in equation (1)

2x-y=8

2(5)-y=8

y=2

⇒  x=5 ,y=2

Using substitution method;

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