document.write( "Question 984222: 3x+2y=14
\n" ); document.write( "x+-12y=-8
\n" ); document.write( "I know the answer I just don't know how to solve it by elimination, could you help? \n" ); document.write( "
Algebra.Com's Answer #604985 by Boreal(15235)\"\" \"About 
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3x+2y=14
\n" ); document.write( "x+-12y=-8 \r
\n" ); document.write( "\n" ); document.write( "Elimination means you need to eliminate a variable. Let's eliminate x, and we will have just y to solve for. Once we have y, we can find x.\r
\n" ); document.write( "\n" ); document.write( "To eliminate x, first make the leading coefficient the same but the opposite sign. That means multiply the second equation by -3. Watch what happens\r
\n" ); document.write( "\n" ); document.write( "3x+2y=14
\n" ); document.write( "-3x+36y=24; Notice that every term in the second equation is multiplied by -3. Watch the signs.
\n" ); document.write( "Now you can add the two equations.
\n" ); document.write( "0+38y=38, because 3x-3x=0. X is gone.\r
\n" ); document.write( "\n" ); document.write( "38y=38
\n" ); document.write( "y=1
\n" ); document.write( "substitute into either equation.
\n" ); document.write( "3x+2=14
\n" ); document.write( "3x=12
\n" ); document.write( "x=4\r
\n" ); document.write( "\n" ); document.write( "Check (4,1) in second equation.
\n" ); document.write( "4-12=-8. It checks.\r
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