document.write( "Question 58363: solve the following equations and express the answer as an ordered pair if possible\r
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document.write( "2x-4y=8
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document.write( "x-2y=4 \n" );
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Algebra.Com's Answer #39979 by funmath(2933)![]() ![]() ![]() You can put this solution on YOUR website! solve the following equations and express the answer as an ordered pair if possible\r \n" ); document.write( "\n" ); document.write( "L1) 2x-4y=8 \n" ); document.write( "L2) x-2y=4 \n" ); document.write( "Multiply L2 by -2 and add it to L1 in order to eliminate one of the variables. \n" ); document.write( "-2(x-2y=4) --->> -2x+4y=-8 \n" ); document.write( ": \n" ); document.write( "2x-4y=8 \n" ); document.write( "-2x+4y-8 \n" ); document.write( "___________ \n" ); document.write( "0x+0y=0 \n" ); document.write( "0=0 \n" ); document.write( ": \n" ); document.write( "This is a special case, our variables are both eliminated and our constants are =. Graphically, they are the same line and have all points in common. \n" ); document.write( "This means there are an infinite number of solutions. Some teachers and books are happy to get that answer or \"all real numbers.\" \n" ); document.write( ": \n" ); document.write( "Others want you to solve either equation for y and write your answer like this: \n" ); document.write( "x-2y=4 \n" ); document.write( "-2y=-x+4 \n" ); document.write( "-2y/-2=-x/-2+4/-2 \n" ); document.write( "y=(1/2)x-2 \n" ); document.write( "The answer is: (x,(1/2)x-2) \n" ); document.write( "You don't have to do this last part unless your teacher or book requires it. \n" ); document.write( ": \n" ); document.write( "Happy Calculating!!! \n" ); document.write( " |