2e Worksheet 1 (simultaneous Eqns - Sub. Method)

CORALSECONDARYSCHOOL ELEMENTARYMATHEMATICS EQUATIONS WORKSHEETI r SIMULTANEOUS (SUBSTITUTION METHOD) ()

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Sec2 / 1.

Equating ExpressionsMethod

Considerthe following pair of equations: !=ax+b...... . . . . (l) . . . . (2 ) !=cx+d... Sin ce!=ax+b

and !=cx+d,the n

2.

Examples

2.1

equations: Solvethe following pair of simultaneous x =3y *l x=2y+1

2.2

Solvethe following pair of simultaneousequations: a^a 11)

=

/

Y

-

1

5 Y=2 x -1

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2E Worksheetl: SimultaneousEouations(SubstitutionMethod)

3.

Substitution Method

The aim of this methodis to expresseither x =... or y - ....

4.

Examples

Use the substitutionmethodto solvethe following simultaneous equations: ( a)

4x-y=1 2x -3Y = -7

(b)

5x+y=g 3x+4y+17 = 0

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2E Worksheetl: SimultaneousEouations(SubstitutionMethod)

(c)

5 x+5 y=$ l 0 x-6 )

(d)

4 x+y --6 2 )v

+ 5 tt

a

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2E Worksheetl: Simultaneous Eouations(Substitution Method)

(e)

:-? =+ 25 x +4Y =-1 6

(0

The price of a book and a ruler are $x and $/ respectively. (i) The total price of 3 booksand I ruler is $17. Form an equationin x andy. (ii) The total price of 4 booksand 5 rulersis $30. Form anotherequationinx and J'

(iii)

By solving the simultaneousequationsin (i) and (ii), find the price of a book and the price of a ruler.

SAil:

Ex 5.3 Q2c, e, g

H, { il:

E x 5 .3 Q l c , f, g ,2 d ,h ,4 ,5

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