MTH3: SIMULTANEOUS EQUATIONS

This unit is about the simultaneous equation and how to solve equations simultaneously using matrix method and graphic method, its also consists of isometrics.

SIMULTANEOUS EQUATIONS

Substitution Method:

Solve :

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A VIDEO ABOUT HOW TO SOLVE PROBLEMS WITH SIMULTANEOUS EQUATIONS

MATRIX METHOD

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Graphical Method

Solve

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Problems solved by simultaneous and equations

A motorist buys 24 litres of petrol and 5 litres of oil for 32, 100/= while another motorist buys 18 litres of petrol and 10 litres of oil for 37,200/=. Find the cost of one litre of petrol and one litre of oil at this petrol station.

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  1. A fishing enthusiast buys fifty maggots and twenty worms for 1980/= and her mother buys thirty maggots and forty worms for2700/=. Find the cost of one maggot and one worm.

Let cost of one maggot be x

Let cot of one worm be y

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  1. A tortoise makes a journey in two parts it can either walk 4cms-1 or crawl at 3cms-1. If the tortoise walks the first part and crawls the second, it makes 110 seconds. If it craws the first part and walks the second, it takes 100 seconds. Find the lengths of the two parts of the journey.

Let length of 1st be x
Let length of 2nd be y

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  1. A snake can lay white or brown eggs. Three white eggs and two brown eggs weigh 13 grams, while five white eggs and four brown eggs weigh 24 grams. Find the weigh of a brown egg and of a white egg.

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ISOMETRIES

In isometry the objects are the same size, therefore, we shall be dealing with fraction, transformation and rotation.

Notation;

On graph paper and in the graph book.

Combining transformation.

X and Y are reflections in the X-axis and y-axis respectively

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The identification transformation

It maps every point f an object onto itself.

The identity transformation is denoted by the letter

Exercise D.

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  1. Draw two parallel lines m1 and m2. Choose any point P and show the position of the following on your diagram,

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A VIDEO ABOUT ISOMETRIES

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