document.write( "Question 80731: 48: Solve this system:
\n" ); document.write( "y = 2x - 3
\n" ); document.write( "x + 2y = 14
\n" ); document.write( "

Algebra.Com's Answer #57888 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
Since we have an equation in y form, we can use substitution\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Substitute \"2x-3\" into y of \"x+%2B+2y+=+14\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+%2B+2%2Ahighlight%28%282x-3%29%29+=+14\" Plug in 2x-3 into y\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+%2B+2%282x-3%29+=+14\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+%2B+2%2A2x-2%2A3+=+14\" Distribute\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+%2B+4x-6+=+14\" Multiply\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+%2B+4x=+20\" Add 6 to both sides\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"5x=+20\" Combine like terms\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=4\" Divide both sides by 5\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now plug in x=4 to find y\r
\n" ); document.write( "\n" ); document.write( "\"y=2%284%29-3\" Plug in x=4\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"y=8-3\" Multiply\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"y=5\" Combine like terms\r
\n" ); document.write( "\n" ); document.write( "So our solution is:\r
\n" ); document.write( "\n" ); document.write( "(4,5)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Check:
\n" ); document.write( "\"5+=+2%284%29+-+3\"\r
\n" ); document.write( "\n" ); document.write( "\"5=5\" works\r
\n" ); document.write( "\n" ); document.write( "\"4+%2B+2%2A5+=+14\"\r
\n" ); document.write( "\n" ); document.write( "\"14=14\" works
\n" ); document.write( "
\n" );