Question

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Answer 1

x-7/x+7=2/3

ans: x-7*3=x+7*2

3x-21=2x+14

bring 2x to LHS

3x-2x= x

and take -21 to RHS it becomes 21

14+21=35

x=35

explanation: hope it is helpful for

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Answer 2

Answer:

(i)x+y=11

square on both sides

(x+y)²=11²

x²+y²+2xy=121

(given xy=2)

x²+y²+2(2)=121

x²+y²+4=121

x²+y²=121-4

x²+y²=117

(ii) (96)²

(100-4)²

(a-b)²=a²+b²-2ab

100²+4²-2×100×4

10000+16-800

10016-800

9216

(96)²=9216

(iii)(-6+(-7))/2=-13/2

(-6+(-13/2))/2=-25/2

(-13/2+(-7))/2=-27/2

(iv)(5/11)×(5/×11)×(11/5)×(11/5)×(11/5)×(11/5)×(5/4)×(5/4)

by cancelling we get

(11/4)×(11/4)=(11/4)²=121/16

(v) (x-7)3=(x+7)2

3x-21=2x+14

3x-2x=21+14

x=35