document.write( "Question 58363: solve the following equations and express the answer as an ordered pair if possible\r
\n" ); document.write( "\n" ); document.write( "2x-4y=8
\n" ); document.write( "x-2y=4
\n" ); document.write( "

Algebra.Com's Answer #39979 by funmath(2933)\"\" \"About 
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( "
\n" );