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ICSE Class 8 Answered

Solve each other pair of equation given below using elimination method : (3/x)+(2/y)=(9/xy); (9/x) +(4/y)=(21/xy)
Asked by Cl_narayan | 30 Jan, 2020, 10:42: AM
Expert Answer
begin mathsize 16px style 3 over straight x plus 2 over straight y equals 9 over xy semicolon space 9 over straight x plus 4 over straight y equals 21 over xy
Multiply space both space the space sides space by space xy comma space we space get
3 straight y space plus space 2 straight x space equals space 9 space space.... space left parenthesis straight i right parenthesis
9 straight y space plus space 4 straight x space equals space 21.... space left parenthesis ii right parenthesis
Multiply space equation space left parenthesis straight i right parenthesis space by space 2 comma space we space get
4 straight x space plus space 6 straight y space equals space 18 space... space left parenthesis iii right parenthesis
Subtract space left parenthesis iii right parenthesis space from space left parenthesis ii right parenthesis comma space we space get
3 straight y space equals 3 space rightwards double arrow straight y space equals space 1
Substitute space straight y space equals space 1 space in space left parenthesis straight i right parenthesis comma space we space get
3 left parenthesis 1 right parenthesis space plus space 2 straight x space equals space 9 space
rightwards double arrow 2 straight x space equals space 6
rightwards double arrow straight x equals space 3
bold x bold space bold equals bold space bold 3 bold space bold and bold space bold y bold space bold equals bold space bold 1 end style
Answered by Yasmeen Khan | 30 Jan, 2020, 11:06: AM

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