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Simultaneous Equations
[object Object],[object Object]
 
 
[object Object],Length Width
[object Object],Length Width
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
6 7 8 9 Width 4 3 2 1 Length 1 2 3 4 5 9 8 7 6 5
[object Object],[object Object],Length Width
Length>Width 6 7 8 9 Width 4 3 2 1 Length 1 2 3 4 5 9 8 7 6 5
Length>Width 6 7 8 9 Width 4 3 2 1 Length 1 2 3 4 5 9 8 7 6 5
[object Object],[object Object],Length Width
Length = 4 x Width 6 7 8 9 Width 4 3 2 1 Length 1 2 3 4 5 9 8 7 6 5
Length = 4 x Width 6 7 8 9 Width 4 3 2 1 Length 1 2 3 4 5 9 8 7 6 5
[object Object],[object Object]
[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object]
 
[object Object],[object Object]
Total $10 Coins $5 Coins Value Number
Total y $10 Coins x $5 Coins Number
x+y Total y $10 Coins x $5 Coins Number
x+y Total y $10 Coins x $5 Coins Value Number
x+y Total 10y y $10 Coins 5x x $5 Coins Value Number
5x+10y x+y Total 10y y $10 Coins 5x x $5 Coins Value Number
140 19 Total 10y y $10 Coins 5x x $5 Coins Value Number
5x+10y=140 x+y=19 Total 10y y $10 Coins 5x x $5 Coins Value Number
[object Object],[object Object],[object Object]
Total Tart Cake Eggs used Number
Total y Tart x Cake Eggs used Number
x+y Total y Tart x Cake Eggs used Number
x+y Total y/2 y Tart 2x x Cake Eggs used Number
2x+y/2 x+y Total y/2 y Tart 2x x Cake Eggs used Number
22 20 Total y/2 y Tart 2x x Cake Eggs used Number
2x+y/2=22 x+y=20 Total y/2 y Tart 2x x Cake Eggs used Number
 
X Y 20
22 2X Y/2
x+y=20 2x+y/2=22
[object Object],[object Object],[object Object]
 
Total Lose Win Number
Total Lose a Win Number
Total b Lose a Win Number
a+b Total b Lose a Win Number
a+b Total b Lose a Win Points Number
a+b Total b Lose 3a a Win Points Number
a+b Total 1b b Lose 3a a Win Points Number
3a+b a+b Total 1b b Lose 3a a Win Points Number
3a+b=92 a+b=38 Total 1b b Lose 3a a Win Points Number
[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object]
 
How to solve ?? ,[object Object],[object Object],[object Object],[object Object]
Method of Substitution
[object Object],[object Object],Length Width
[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object]
[object Object],[object Object]
[object Object],[object Object]
2(x+y) = 20 x = 4y 2(4y+y) = 20
OR 3x-2y=12 2x+y=1 3x-2y=12 y=1-2x 3x-2y=12 x=(1-y)/2
[object Object],[object Object],[object Object]
 
Challenging Question ,[object Object],[object Object]
Method of Elimination $14.8 $18
[object Object],[object Object]
$18 $14.8 $3.2
$ ??
$18 $3.2
$18 $3.2 $3.2 $11.6
$3.2 $11.6
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
 
Setting up the equations ,[object Object]
[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object]
[object Object]
[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object]
[object Object]
[object Object],[object Object]
[object Object],[object Object],[object Object]

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Simultaneous equations