Question

x + 7y = 10; 3x - 2y = 7​

Answer 1

Answer:

x+7y=10 ---1 , 3x-2y=7----2

multiply eq. 1 by 3

3x+21y=30--------3

eq. 3 - 2

3x+21y=30

- 3x-2y=7

-------------------

23y=23

y=1

x=3

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Answer 2

Answer:

x + 7y = 10; .....(I)

3x – 2y = 7 .....(II)

Multiplying (I) with 3

3x + 21y = 30; .....(III)

3x – 2y = 7 .....(IV)

Subtracting (IV) from (III) we get

23y = 23

⇒y = 1

Putting the value of y in (IV) we get

3x – 2 = 7

⇒3x = 7 + 2 = 9

⇒3x = 9

⇒x = 3

Thus, (x, y) = (3, 1)