document.write( "Question 369608: I am supposed to solve a linear equation using the method of elimination, I have retried doing it over and over but when I go back to check my work it doesn't come out as the correct answer. So I need help solving this by using method of elimination. Please help me solve this equation: x+3y=14
\n" ); document.write( " x+2y=10
\n" ); document.write( "Hopefully you know this method, I do but this particular problem is causing me to struggle, so can you show me the steps to how you figured it out? Thank you!
\n" ); document.write( "

Algebra.Com's Answer #263383 by acalgebra(30)\"\" \"About 
You can put this solution on YOUR website!
First, multiply the second equation by -1:
\n" ); document.write( "\"-x-2y=-10\"
\n" ); document.write( "Now, add the equations together:
\n" ); document.write( "\"x%2B3y-x-2y=14-10\"
\n" ); document.write( "Combine like terms:
\n" ); document.write( "\"x-x%2B3y-2y=4\"
\n" ); document.write( "\"y=4\"
\n" ); document.write( "
\n" ); document.write( "Substitute y for 4 in one of the equations. I chose the first one:
\n" ); document.write( "\"x%2B3%284%29=14\"
\n" ); document.write( "Multiply 3 by 4:
\n" ); document.write( "\"x%2B12=14\"
\n" ); document.write( "Subtract 12 from both sides:
\n" ); document.write( "\"x=2\"
\n" ); document.write( "
\n" ); document.write( "So, \"x=2\" and \"y=4\".
\n" ); document.write( "--------
\n" ); document.write( "Check:
\n" ); document.write( "First equation:
\n" ); document.write( "\"2%2B3%284%29=14\"
\n" ); document.write( "\"2%2B12=14\"
\n" ); document.write( "\"14=14\"
\n" ); document.write( "Second equation:
\n" ); document.write( "\"2%2B2%284%29=10\"
\n" ); document.write( "\"2%2B8=10\"
\n" ); document.write( "\"10=10\"
\n" ); document.write( "
\n" );