EXAMPLE 12 Solve for x and y, given...
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EXAMPLE 12 Solve for x and y, given that

11th - 12th Class
Maths
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solution We have [ begin{array}{l} Rightarrowleft[begin{array}{cc} x & y 3 y & x end{array}right]left[begin{array}{l} 1 2 end{array}right]=left[begin{array}{l} 3 5 end{array}right] Rightarrowleft{begin{array}{l} x+2 y 3 y+2 x end{array}right]=left[begin{array}{l} 3 5 end{array}right] Rightarrowleft{begin{array}{l} x+2 y=3 2 x+3 y=5 end{array}right. end{array} ] Multiplying (i) by 2 and subtracting (ii) from it, we get ( y=1 ). Putting ( y=1 ) in (i), we get ( x=1 ) Hence, ( x=1 ) and ( y=1 )
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