ELIMINATION METHOD WORKSHEETS About "Elimination method worksheets"
Elimination method worksheets :
Here we are going to see some practice questions of the topic elimination method. You can also find solution for each problems with detailed explanation. Definition : A ordered pair (x₁,y₁) s called a solution to a
linear system in two variables if the values x = x₁ and y = y₁ satisfy
all the equations in the system. Procedure for elimination-method: (i)
Multiply or divide the members of the equations by such number as to
make the coefficients of the unknown to be eliminates numerically equal. elimination method worksheets (ii) Then, eliminate by addition if the resulting coefficients have unlike signs by subtraction if they have like signs. For
example, if we have 2x in the first equation and 6 x in the second
equation we have to multiply the first equation by 3 to make it as 6x
like the second equation. Now we have 6x in both equation,so we can
subtract them for eliminating x term.
Elimination method examples Solve each of the following system of equations by elimination method.
11 x - 7 y = x y
, 9 x - 4 y = 6 x y Solution
3/y + 5/x = 20/x y
, 2/x + 5/ y = 15/x y Solution
8 x – 3 y = 5 x y ,
6 x – 5 y = - 2 x y Solution 13 x+ 11 y = 70 ,11 x + 13 y = 74 Solution 65 x – 336 y = 97 , 33 x – 65 y = 1 Solution
15/ x + 2/y = 17 , 1/x + 1/y = 36/5
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