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Question

SOLVE THE FOLLOWING LINEAR EQUATION BY THE SUBSTITUTION METHOD 3/2x -5/3y=-2; x/3+y/2=13/6

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Solution

= -2 …………………..(1)

= …………………..(2)

Taking eqn (1)

= -2

,

9x-10y = -12 …………………….(3)

9x = -12 +10y

x = …………………(4)

Taking eqn (2)

=

=

2x+3y = 13 ……………………..(5)

Substitute the value of x in (5)

2* +3y = 13

+3y = 13

= 13

-24 + 47y = 117

47y = 117+24

47y = 141

Y = = 3

Put the value of y in (4)

x =

=

= 18/9

= 2


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