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Cross-Multiplication Method of Finding Solution of a Pair of Linear Equations

Solve, using ...

Question

Solve, using cross-multiplication

$0.4 x - 1.5 y = 6.5 0.3 x + 0.2 y = 0.9$

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Solution

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$fraction numerator x over denominator b subscript 1 c subscript 2 minus b subscript 2 c subscript 1 end fraction equals fraction numerator negative 1 over denominator a subscript 1 b subscript 2 minus a subscript 2 b subscript 1 end fraction equals fraction numerator y over denominator c subscript 1 a subscript 2 minus c subscript 2 a subscript 1 end fraction s u b s t i t u t i n g space v a l u e s space a n d space t a k i n g space f i r s t space 2 space t e r m s x equals fraction numerator negative left square bracket open parentheses negative 1.5 cross times 0.9 close parentheses minus open parentheses 0.2 cross times 6.5 close parentheses right square bracket over denominator open parentheses 0.4 cross times 0.2 close parentheses begin display style minus end style begin display style open parentheses 0.3 cross times negative 1.5 close parentheses end style end fraction equals fraction numerator 2.65 over denominator 0.53 end fraction equals 5 s i m i l l a r l y space f o r space y y equals fraction numerator begin display style minus end style begin display style left square bracket end style open parentheses 0.65 cross times 0.3 close parentheses begin display style minus end style begin display style open parentheses 0.4 cross times 0.9 close parentheses end style begin display style right square bracket end style over denominator open parentheses 0.4 cross times 0.2 close parentheses begin display style minus end style begin display style open parentheses 0.3 cross times negative 1.5 close parentheses end style end fraction equals fraction numerator negative 1.59 over denominator 0.53 end fraction equals negative 3$

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Cross-Multiplication Method of Finding Solution of a Pair of Linear Equations

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