document.write( "Question 247831: I need to show this problem can be solved by substitution, can you please help me? -4x + 2y = 16 and 3x -y = 2 These are systems of linear equations \n" ); document.write( "
Algebra.Com's Answer #180664 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! -4x + 2y = 16 \n" ); document.write( " 3x -y = 2 \n" ); document.write( "add y to both sides of equation 2 \n" ); document.write( "subtract 2 from both sides of equation2 \n" ); document.write( "y=3x-2 \n" ); document.write( "substitute 3x-2 in equation 1 for y \n" ); document.write( "-4x + 2(3x-2) = 16 \n" ); document.write( "-4x+6x-4=16 \n" ); document.write( "add 4 to both sides \n" ); document.write( "combine \n" ); document.write( "2x=20 \n" ); document.write( "x=10 \n" ); document.write( "y=3x-2 \n" ); document.write( "y=30-2 \n" ); document.write( "y=28 \n" ); document.write( "check \n" ); document.write( "-4((10)+2(28)=16 \n" ); document.write( "-40+56=16 \n" ); document.write( "16=16 \n" ); document.write( "ok \n" ); document.write( " \n" ); document.write( " |