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X/2+y=0.87/x+y/2=10Find x and y value

Answer» {tex}\\frac{x}{2}{/tex}\xa0+ y = 0.8\xa0{tex}\\Rightarrow{/tex}\xa0x + 2y = 1.6{tex}\\Rightarrow{/tex}\xa0x = 1.6 - 2y ...........(i)and\xa0{tex}\\frac{7}{x+\\frac{y}{2}}=10{/tex}{tex} \\Rightarrow \\frac{14}{2 x+y}{/tex}\xa0= 10{tex}\\Rightarrow{/tex}\xa020x + 10y = 14{tex}\\Rightarrow{/tex}\xa010x + 5y = 7 ..........(ii)Put (i) in (ii), we get10(1.6 - 2y) + 5y = 7{tex}\\Rightarrow{/tex}\xa016 - 20y + 5y = 7{tex}\\Rightarrow{/tex}\xa0-15y = -9{tex}\\Rightarrow{/tex}\xa0y =\xa0{tex}\\frac{9}{15}{/tex}\xa0= 0.6Put y = 0.6 in equation (i), we getx = 1.6 - 2(0.6)x = 0.4Hence x = 0.4 and y = 0.6 is the solution of given system of equations.


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