ALGEBRA TRICK

Group 1Galuh Dewi lestari (110210151012)

Enin Lutfi Sundari (1102101510)

Galuh and Enin

Galuh and Enin

For Mentally Solving Simultaneous

Equation

How Fast You Solve These Simultaneous Equations?

x + 2y = 102x + 3y = 18

{ in 10 sec}

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The Correct Answer is

x = 6y = 2

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First Let Us Tell you the Usual Way of solving These Simultaneous

Equations

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1. Elimination by Substitution.

2. Elimination by making the coefficient equal.

3. Easy Trick of Cross-Multiplication (Direct)

x + 2y = 102x + 3y = 18DIFFERENT WAYS TO SOLVE

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Usual Way

x + 2y = 102x + 3y = 18

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Faster Way

x + 2y = 102x + 3y = 18

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Try it!

x + 2y = 72x + 3y = 11

{ in 10 sec}

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The Answer

x = 1y = 3

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Try it!

4x + 9y = 47x + 2y = 11

{ in 10 sec}

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The Answer

x = 5y = 3

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Try it!

7x + 3y = 175x + 2y = 12

{ in 10 sec}

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The Answer

x = 2y = 1

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Faster multiplication of

Polynomial

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How fast you can solve this polynomial multiplication?

123.

452.23

23

xxxII

xxxI

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The Result is

4914251976 23456 xxxxxx

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Now I will Introduce you another way to solve it

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Multiply Two Polynomial Below !

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624 234 xxxx

223 234 xxxx

The Result :

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12111215165114 2345678 xxxxxxxx

Upps….. Sorry I get wrong answer

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Galuh and Enin

Here is the correct one !

12101217165114 2345678 xxxxxxxx

How can we check whether the answer

true or false ?

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Please Try to Multiply Both Polynomial by Your Self

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342. 24 xxxI

573. 3 xxII

Before we use the faster way, we must write zero to fill in the missing part of polynomial. So the polynomial become:

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3402 24 xxx57030 3 xx

The Result is

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1526273713266 23457 xxxxxx

Galuh and Enin