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ICSE Class 9 Answered

x/p + y/q = 2 px -qy = (a^2 - b^2) Solve using cross multiplication method of linear equations
Asked by shweta45gaikwad | 30 Aug, 2018, 07:14: PM
answered-by-expert Expert Answer
begin mathsize 18px style straight x over straight p plus straight y over straight q minus 2 equals 0
px minus qy minus open parentheses straight a squared minus straight b squared close parentheses equals 0
fraction numerator straight x over denominator open vertical bar table row cell begin display style 1 over straight q end style end cell cell begin display style negative 2 end style end cell row cell begin display style negative straight q end style end cell cell negative open parentheses straight a squared minus straight b squared close parentheses end cell end table close vertical bar end fraction equals fraction numerator straight y over denominator open vertical bar table row cell begin display style negative 2 end style end cell cell begin display style fraction numerator begin display style 1 end style over denominator begin display style straight p end style end fraction end style end cell row cell negative open parentheses straight a squared minus straight b squared close parentheses end cell straight p end table close vertical bar end fraction equals fraction numerator 1 over denominator open vertical bar table row cell 1 over straight p end cell cell 1 over straight q end cell row straight p cell negative straight q end cell end table close vertical bar end fraction
simplify...
fraction numerator begin display style straight x end style over denominator begin display style open vertical bar table row cell 1 over straight q end cell cell negative 2 end cell row cell negative straight q end cell cell negative open parentheses straight a squared minus straight b squared close parentheses end cell end table close vertical bar end style end fraction equals fraction numerator begin display style 1 end style over denominator begin display style open vertical bar table row cell fraction numerator begin display style 1 end style over denominator begin display style straight p end style end fraction end cell cell fraction numerator begin display style 1 end style over denominator begin display style straight q end style end fraction end cell row straight p cell negative straight q end cell end table close vertical bar end style end fraction

fraction numerator begin display style straight y end style over denominator begin display style open vertical bar table row cell negative 2 end cell cell fraction numerator begin display style 1 end style over denominator begin display style straight p end style end fraction end cell row cell negative open parentheses straight a squared minus straight b squared close parentheses end cell straight p end table close vertical bar end style end fraction equals fraction numerator 1 over denominator open vertical bar table row cell 1 over straight p end cell cell 1 over straight q end cell row straight p cell negative straight q end cell end table close vertical bar end fraction
end style
Answered by Arun | 03 Sep, 2018, 10:44: AM
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