document.write( "Question 116073: Suppose T is equal to x over y and R is equal to w over z, show that xz plus yw all over yz-xw is equal to t plus r all over one minus tr. \n" ); document.write( "

Algebra.Com's Answer #84475 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"T=x%2Fy\"$
\n" ); document.write( " $\"R=w%2Fz\"$
\n" ); document.write( " $\"%28xz%2Byw%29%2F%28yz-xw%29=%28%281%2Fy%29%28xz%2Byw%29%29%2F%28%281%2Fy%29%28yz-xw%29%29\"$ Multiply top and bottom by (1/y).
\n" ); document.write( " $\"%28xz%2Byw%29%2F%28yz-xw%29=%28%28xz%2Fy%2Byw%2Fy%29%29%2F%28%28yz%2Fy-xw%2Fy%29%29\"$ Distributive property.
\n" ); document.write( " $\"%28xz%2Byw%29%2F%28yz-xw%29=%28%28Tz%2Bw%29%29%2F%28%28z-Tw%29%29\"$ Substitute and simplify.
\n" ); document.write( " $\"%28xz%2Byw%29%2F%28yz-xw%29=%28%281%2Fz%29%28Tz%2Bw%29%29%2F%28%281%2Fz%29%28z-Tw%29%29\"$ Multiply top and bottom by (1/z).
\n" ); document.write( " $\"%28xz%2Byw%29%2F%28yz-xw%29=%28%28Tz%2Fz%2Bw%2Fz%29%29%2F%28%28z%2Fz-Tw%2Fz%29%29\"$ Distributive property.
\n" ); document.write( " $\"%28xz%2Byw%29%2F%28yz-xw%29=%28%28T%2BR%29%29%2F%28%281-TR%29%29\"$ Substitute and simplify. \n" ); document.write( "

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