document.write( "Question 161753: solve the system of equations using the addition (elimination) method.
\n" ); document.write( "If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is “no solution” or “infinitely many solutions.”
\n" ); document.write( "x + 2y = 5
\n" ); document.write( "3x + 4y = 1
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #119278 by elima(1433)\"\" \"About 
You can put this solution on YOUR website!
You will add the equations together in order to eliminate one of the variables;
\n" ); document.write( "x + 2y = 5
\n" ); document.write( "3x + 4y = 1
\n" ); document.write( "Lets start by eliminating the y, so we will multiply the first equation by -2;
\n" ); document.write( "-2 (x + 2y = 5)
\n" ); document.write( "-2x - 4y = -10
\n" ); document.write( "Now we will be able to add the two equations together so we can eliminate the y;
\n" ); document.write( "-2x-4y =-10
\n" ); document.write( "3x + 4y = 1
\n" ); document.write( "-----------
\n" ); document.write( "x= -11
\n" ); document.write( "Now plug the -11 in either equation for x;
\n" ); document.write( "-11 + 2y = 5
\n" ); document.write( "2y = 5+11
\n" ); document.write( "2y = 16
\n" ); document.write( "y=8
\n" ); document.write( " so the answer is;
\n" ); document.write( "(-11, 8)
\n" ); document.write( ":)
\n" ); document.write( "
\n" );