Question

8x-2y=6

9x+y=10 sovle the equiton by using elimination method
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Answer 1

GIVEN:

• 8x - 2y = 6 --------------- ( 1 )
• 9x + y = 10 --------------- ( 2 )

TO FIND:

• x = ?
• y = ?

SOLUTION:

Taking equation 1 & dividing both sides with 2

→ (8x - 2y)/2 = 6/2

→ 4x - y = 3 ------------ ( 3 )

Adding Equation (3) + (2)

9x + y = 10

4x - y = 3

+ - +

13x = 13

→ x = 13/13

→ x = 1

Substituting value of x in equation 3

→ 4(1) - y = 3

→ 4 - 3 = y

→ y = 1

→ y = 1 ←

Hence , x = 1 & y = 1

Answer 2

$\bigstar$ Solution :

$\bigstar$ Given Equations :

• 8 x - 2 y = 6
• 9 x + y = 10

$\bigstar$ To Find :

$\star$ To solve these equations by using Elimination method

$\bigstar$ Answer :

$\star$ 9 x + y = 10

=> y = 10 - 9 x ... (1)

$\star$ 8 x - 2 y = 6

$\star$ Now sub. (1) in this eq. , we get ,

=> 8 x - 2 ( 10 - 9 x ) = 6

=> 8 x - 20 + 18 x = 6

=> 26 x = 26

=> x = 1

$\star$ Now , sub. x=1 , in (1) , we get ,

=> y = 10 - 9 (1)

=> y = 10 - 9

=> y = 1

$\bigstar$ About Elimination Method  :

• In the elimination method you either add or subtract the equations to get an equation in one variable.

• When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable.

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