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Given equations are, 37x+43y=123; 43x+37y=117 . Multiply equation 37x+43y=123 by 43, ⇒1591x+1849y=5289 ……….(1) Equation 43x+37y=117 by 37 , ⇒1591x+1369y=4329 ………..(2) Subtract equation (1) by equation (2), ⇒1591x+1849y−1591x−1369y=5289−4329 ⇒480y=960 ⇒y=2 Substitute,y=2 for x in the equation 43x+37y=117 . ⇒43x+37(2)=117 ⇒43x+74=117 ⇒x=1 Thus, the value of x and y is x=1 and y=2 .

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