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ICSE Class 9 Answered

Solve each other pair of equation given below using elimination method: 2y-(3/x)=12; 5y+(7/x)=1
Asked by Cl_narayan | 30 Jan, 2020, 10:39: AM
answered-by-expert Expert Answer
begin mathsize 16px style 2 straight y minus 3 over straight x equals space 12 space and space 5 straight y space plus 7 over straight x equals space 1
Let space 1 over straight x equals space straight t.
minus 3 straight t space plus space 2 straight y equals space 12 space space.... space left parenthesis straight i right parenthesis
space space space space 7 straight t space plus space 5 straight y equals space 1 space space space space.... space left parenthesis ii right parenthesis
Multiply space equation space left parenthesis straight i right parenthesis space by space 7 space and space left parenthesis ii right parenthesis space by space 3 comma space we space get
minus 21 straight t space plus space 14 straight y space equals space 84 space.... space left parenthesis iii right parenthesis
space space space space 21 straight t space plus space 15 straight y space equals space 3 space space space.... space left parenthesis iv right parenthesis
Adding space equation space left parenthesis iii right parenthesis space and space left parenthesis iv right parenthesis comma space we space get
29 straight y space equals space 87
rightwards double arrow space straight y space equals space 3
Substitute space straight y space equals space 3 space in space left parenthesis straight i right parenthesis comma space we space get
minus 3 straight t space equals space 6 rightwards double arrow straight t space equals space minus 2
1 over straight x equals space straight t
rightwards double arrow straight x space equals negative 1 half space space
bold x bold space bold equals bold minus bold 1 over bold 2 bold space bold and bold space bold y bold space bold equals bold space bold 3


end style
Answered by Yasmeen Khan | 30 Jan, 2020, 11:20: AM
ICSE 9 - Maths
Asked by Cl_narayan | 30 Jan, 2020, 10:39: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
Asked by Cl_narayan | 15 Jan, 2020, 10:07: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
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