Solve the following system of linear equation 4/x + 5y =7 and 3/x + 4y

1.	Solve the following system of linear equation 4/x + 5y =7 and 3/x + 4y= 5
Answer» {tex}4/x + 5y =7 and 3/x + 4y= 5{/tex}\xa0Let, 1/x=m and y=n, then\xa04m+5n=7 ------(i) ×33m+4n=5 -------(ii) ×4Now, solving for \'n\',we write,12m+15n=2112m+16n=20Now, substracting,we get,n=-1i.e. y=-1Putting the value of y into (i), we get,4m+5.(-1)=7or, 4m=7+5=12or, m=3or, x=\xa0{tex}\\frac{{1}}{3}{/tex}So, the solution is,x=\xa0{tex}\\frac{{1}}{3}{/tex}and y=-1

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