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ICSE Class 9 Answered

1/5x+y/9=5 1/3x+y/2=14   Solve for x and y
Asked by drmeghasoni78 | 17 Aug, 2018, 11:29: AM
answered-by-expert Expert Answer
begin mathsize 16px style 1 fifth straight x space plus space 1 over 9 straight y space equals space 5 space and space fraction numerator begin display style 1 end style over denominator begin display style 3 end style end fraction straight x space plus space fraction numerator begin display style 1 end style over denominator begin display style 2 end style end fraction straight y space equals space 14 space rightwards double arrow 9 straight x space plus space 5 straight y space equals space 225 space space space... left parenthesis 1 right parenthesis rightwards double arrow 2 straight x space plus space 3 straight y space equals space 84 space space space space space... left parenthesis 2 right parenthesis Multiply left parenthesis 1 right parenthesis space by space 2 space and space left parenthesis 2 right parenthesis space by space 9 comma space we space get rightwards double arrow 18 straight x space plus space 10 straight y space equals space 450 space space space... left parenthesis 1 right parenthesis rightwards double arrow 18 straight x space plus space 27 straight y space equals space 756 space space space space space... left parenthesis 2 right parenthesis Subtracting space left parenthesis 1 right parenthesis space from space left parenthesis 2 right parenthesis comma space we space get 17 straight y space equals space 306 space space space space space... left parenthesis 2 right parenthesis rightwards double arrow straight y space equals space 18 Put space straight y space equals space 18 space in space left parenthesis 2 right parenthesis comma space we space get 2 straight x space plus space 3 space cross times space 18 space equals space 84 rightwards double arrow straight x space equals space 15 end style
Answered by Yasmeen Khan | 17 Aug, 2018, 11:44: AM

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ICSE 9 - Maths
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