document.write( "Question 181157: I need to solve this problem by the substitution method. I cannot figure out how to get the answer shown in the back of the book. The problem is:
\n" ); document.write( "x+4y=14
\n" ); document.write( "2x-y=1\r
\n" ); document.write( "\n" ); document.write( "Here are some of the ways I tried to solve it;
\n" ); document.write( "x(2x + 1) + 4y = 14
\n" ); document.write( "2(14-4y)-y=1
\n" ); document.write( "I tried moving the equation around like: y=2x +1 and x=14-4y.
\n" ); document.write( "I have spent over 2 hours on this question. The answers in the book are (2,3). Please help!! \n" ); document.write( "

Algebra.Com's Answer #135811 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
I need to solve this problem by the substitution method. I cannot figure out how to get the answer shown in the back of the book. The problem is:
\n" ); document.write( "x+4y=14
\n" ); document.write( "2x-y=1
\n" ); document.write( "------------------
\n" ); document.write( "Solve the 1st for \"x\":
\n" ); document.write( "x = 14-4y
\n" ); document.write( "-------
\n" ); document.write( "Substitute into 2x-y = 1
\n" ); document.write( "2(14-4y) - y = 1
\n" ); document.write( "28 -8y -y = 1
\n" ); document.write( "-9y = -27
\n" ); document.write( "y = 3
\n" ); document.write( "-----
\n" ); document.write( "The x = 14-4y = 14 - 4*3 = 2
\n" ); document.write( "==================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

\n" );