Question

i.2x-3y=8.ii.7x-2y=20

Answer 1

(1)×7
14x-21y=56 (3)
(2)×2
14x-4y=40 (4)
(3)-(4)
-17y=16
Y=-16/17
Put y=-16/17 in(1)
X= 44/17

Answer 2

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2x - 3y =8........(1)

7x - 2y =20........(2)

From equation (1)

2x = 8+3y

x = 8+3y / 2.......(3)

substitute equation (3) in equation (2)

7 ( 8+3y/2 ) - 2y =20

56+21y /2 - 2y = 20

56 + 21y - 4y / 2 = 20

56 + 17y / 2 = 20

56 + 17 y = 20(2)

56 + 17y = 40

17y = 40-56

17y = -16

y = -16/17

substitute y value in equation (3)

x = 8+3y/2

x = 8 + 3 (-16/17) /2

x = 8 - 48 /17 / 2

x = 136-48/17 /2

x= 88/17 x 2

x = 166/17