Ex 2.2, 3 - Solve x + 7 - 8x/3 = 17/6 - 5x/2 - Chapter 2 Class 8 - Ex 2.2

part 2 - Ex 2.2, 3 - Ex 2.2 - Serial order wise - Chapter 2 Class 8 Linear Equations in One Variable

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Transcript

Ex 2.2, 3 Solve the following linear equations. x + 7 โˆ’ 8๐‘ฅ/3=17/6โˆ’5๐‘ฅ/2x + 7 โˆ’ 8๐‘ฅ/3=17/6โˆ’5๐‘ฅ/2 (๐Ÿ‘(๐’™ + ๐Ÿ•) โˆ’ ๐Ÿ–๐’™)/๐Ÿ‘=(๐Ÿ๐Ÿ• โˆ’ ๐Ÿ“๐’™ ร— ๐Ÿ‘)/๐Ÿ” (3๐‘ฅ + 21 โˆ’ 8๐‘ฅ)/3=(17 โˆ’ 15๐‘ฅ)/6 (3๐‘ฅ โˆ’ 8๐‘ฅ + 21)/3=(17 โˆ’ 15๐‘ฅ)/6 (โˆ’5๐‘ฅ + 21)/3=(17 โˆ’ 15๐‘ฅ)/6 6 (โˆ’5x + 21) = 3 (17 โˆ’ 15x) โˆ’30x + 126 = 51 โˆ’ 45x โˆ’30x = โˆ’45x + 51 โˆ’ 126 โˆ’30x = โˆ’45x โˆ’ 75 โˆ’30x + 45x = โˆ’75 15x = โˆ’ 75 x = (โˆ’75)/15 x = โˆ’5 Check:- โˆด LHS = RHS Hence Verified. L.H.S ๐‘ฅ+7โˆ’8๐‘ฅ/3 =โˆ’5+7โˆ’(8 (โˆ’5))/3 =2+40/3 =(6 + 40)/3=46/3 R.H.S 17/6โˆ’5๐‘ฅ/2 =17/6โˆ’5(โˆ’5)/2=17/6+25/2 =(17 +3(25))/6 =(17 + 75)/6=92/6=46/3

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