G10_C14.1_Simultaneous Linear Equation

" Simultaneous equations are like two voices singing in harmony — the solution is where they meet in perfect pitch. "

Today's Quote

C14.1 Simultaneous Linear Equations

By: Fatmawati, S.Si., M.Ed., Gr.

​Cambridge IGCSE 0580

Learning Objective:
It's expected that by the end of the lesson, students should be able to derive and solve simultaneous linear equations graphically and algebraicaly

A little girl looks out of her window and notices that she can see some goats and some geese. From the window she can see some heads and then, when she looks out of the cat flap, she can see some feet. She knows that each animal has one head, goats have four feet and geese have two feet. Suppose that the girl counts 8 heads and 26 feet. How many goats are there? How many geese are there?

Apperception

Draw

Solve the following pair of simultaneous equations:

Draw

Complete the solutions

Draw

Solve the following pair of simultaneous equations graphically.

$$3x+2y=2$$

$$2x+y=12$$