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Question

3x-5y=4 9y-2y =7 by substitution method

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Solution

3x-5y=4.........(1)

9x-2y=7..........(2)
9x=7+2y

Multiply first equation by 3

That is (3x-5y=4) × 3
Then equation (1) become

9x-15y=12

Substitute 9x from equation (2)

​​​​​​ == (7+2y) -15y=12

=7+2y-15y =12

7-13y=12

-13y=12-7
-13y=5

y= -5/13

Put value of y in equation (1)

3x -5×(-5/13)=4

3x + 25/13=4

3x=4-25/13

​​​​​​Multiply all with 13

13×(3x)=4×13-25

39x=52-25
39x=27

X=27/39

X=9/13

Y= -5/13

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