document.write( "Question 740655: solving systems using substitution\r
\n" ); document.write( "\n" ); document.write( "x+4y=5
\n" ); document.write( "4x-2y=11\r
\n" ); document.write( "\n" ); document.write( "I can't figure out what am I suppose to do so please help. \n" ); document.write( "

Algebra.Com's Answer #451653 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
This is how substitution works:
\n" ); document.write( "(1) $\"+x+%2B+4y+=+5+\"$
\n" ); document.write( "Subtract $\"+4y+\"$ from both sides
\n" ); document.write( "(1) $\"+x+=+-4y+%2B+5+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "Plug this expression for $\"+x+\"$ into (2)
\n" ); document.write( "(2) $\"+4x+-+2y+=+11+\"$
\n" ); document.write( "(2) $\"+4%2A%28+-4y+%2B+5+%29+-+2y+=+11+\"$
\n" ); document.write( "(2) $\"+-16y+%2B+20+-+2y+=+11+\"$
\n" ); document.write( "(2) $\"+-18y+=+11+-20+\"$
\n" ); document.write( "(2) $\"+-18y+=+-9+\"$
\n" ); document.write( "(2) $\"+y+=+1%2F2+\"$
\n" ); document.write( "--------------
\n" ); document.write( "Plug this result back into (1) or (2)
\n" ); document.write( "(1) $\"+x+%2B+4y+=+5+\"$
\n" ); document.write( "(1) $\"+x+%2B+4%2A%281%2F2%29+=+5+\"$
\n" ); document.write( "(1) $\"+x+%2B+2+=+5+\"$
\n" ); document.write( "(1) $\"+x+=+3+\"$
\n" ); document.write( "-------------
\n" ); document.write( "check the solutions,
\n" ); document.write( "(2) $\"+4x+-+2y+=+11+\"$
\n" ); document.write( "(2) $\"+4%2A3+-+2%2A%281%2F2%29+=+11+\"$
\n" ); document.write( "(2) $\"+12+-+1+=+11+\"$
\n" ); document.write( "(2) $\"+11+=+11+\"$
\n" ); document.write( "OK
\n" ); document.write( "(1) $\"+x+%2B+4y+=+5+\"$
\n" ); document.write( "(1) $\"+3+%2B+4%2A%281%2F2%29+=+5+\"$
\n" ); document.write( "(1) $\"+3+%2B+2+=+5+\"$
\n" ); document.write( "(1) $\"+5=5+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );