Math, asked by sms289713, 4 months ago

Simultaneous Linear Equations
Substitution Method:-
5x - 6y = 2
6x - 5y = 9

Answers

Answered by nishantjeeshna
1

Step-by-step explanation:

Answer

5x−6y=2 ------- (1)

6x−5y=9 ------ (2)

From equation 1:

6y=5x−2

y=

6

5x−2

Substitute the value of y in equation 2 :

6x−5y=9

6x−5(

6

5x−2

)=9

36x−25x+10=54

11x=54−10

X=

11

44

=4

Now, Substitute x=4 in equation 1 :

5x−6y=2

5×4−6y=2

20−2=6y

18=6y

y=

6

18

=3

Therefore the solution is: x=4 and y=3

Answered by arvindprataps6
0

Answer:

5x−6y=2 ------- (1)

6x−5y=9 ------ (2)

From equation 1:

6y=5x−2y= 65x−2

Substitute the value of y in equation 2 :

6x−5y=96x−5( 65x−2 )=9

36x−25x+10=54

11x=54−10

X= 44/11=4

Now, Substitute x=4 in equation 1 :

5x−6y=2

5×4−6y=2

20−2=6y

18=6y

y= 18/6=3

Therefore the solution is: x=4 and y=3

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