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V. Solve by substitution method.3x-y=5 4x-2y=3 |
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Answer» 3x-y= 5---① 4x-2y=3---② From EQUATION 1 we'll CONVERT the whole Equation into x or y form: => x = (5+y)/3-----➂ Now, put Equation 3 into 2 => 4x-2y=3 => 4(5+y/3) -2y=3 => 20+4y/3 -2y=3 => 20+4y-6y/3 = 3 => 20-2y/3= 3 => 20-2y= 9 => 20-9= 2y => 11= 2y => y= 11/2 Put y's value into equation 3 => x= (5+y)/3 => x= (5+11/2)/3 =>x= 5*2+11/2)÷3 => x= 10+11/2÷3 =>x= 21/2÷3 => x= 21/6= 7/2 => x= 7/2 Check:=> 3x-y= 5 => 3(7/2)-11/2 => 21/2-11/2 => 10/2 =5 Since,LHS = RHS(VERIFIED) |
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