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Solve the following pair of linear equations by the substitution method . |
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Answer» Answer: Take LCM of 3x/2-5y/3 9x-10y/6= -2 9x-10y=-2×6 9x-10y= -12 _equation 1 ST Now take LCM of x/3 +y/2 2x+3y/6= 13/6 2x+3y= 13/6×6 2x+3y= 78/6 _ equation 2 ND Now multiple equation 1st by 18 and equation 2 nd by 10 then add equation 1 St and 2 nd 162x -180y= -216 120x+180y=780 __________________ 282x = 564 X= 564/282= 2 Put the value of X in equation 1 St 9x -10y = -12 9×2-10y= -12 18-10y=-12 -10y=-12-18 -10y= - 30 y= -30/-10 y= 3 Therefore X= 2 and y= 3
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