Solve : 2.5 y -1.5= 0.5y+3.5
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The given system of equations is 0.3x + 0.5y = 0.5 …….(i) 0.5x + 0.7y = 0.74 …….(ii) Multiplying (i) by 5 and (ii) by 3 and subtracting (ii) from (i), we get 2.5y - 2.1y = 2.5 - 2.2 ⇒0.4y = 0.28 ⇒y = 0.28/0.4 = 0.7 Now, substituting y = 0.7 in (i), we have 0.3x + 0.5 × 0.7 = 0.5 ⇒0.3x = 0.50 – 0.35 = 0.15 ⇒x = 0.15/0.3 = 0.5 Hence, x = 0.5 and y =0.7
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