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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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