document.write( "Question 103558: x + y = 12
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document.write( " y = 2x
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document.write( "HELP \n" );
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Algebra.Com's Answer #75288 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! One of the way to solve linear equations is to substitute.\r \n" ); document.write( "\n" ); document.write( "In this case, you're given y=2x, so it's ready for substitution.\r \n" ); document.write( "\n" ); document.write( "x+y=12 is the other equation, so substitute the value of y.\r \n" ); document.write( "\n" ); document.write( "x+2x=12\r \n" ); document.write( "\n" ); document.write( "Collecting like terms: \n" ); document.write( "3x = 12 \n" ); document.write( "Dividing through by 3: \n" ); document.write( "x = 4 \n" ); document.write( "Now go back to first equation: x + y = 12. \n" ); document.write( "We now know x = 4, so it becomes: \n" ); document.write( "4 + y = 12 \n" ); document.write( "Subtracting 4 from both sides: \n" ); document.write( "y = 8. \n" ); document.write( "ALWAYS check. \n" ); document.write( "In this case, does y = 2x? \n" ); document.write( "y = 2x \n" ); document.write( "8 = 2*4 \n" ); document.write( "8 = 8. \n" ); document.write( "Check! \n" ); document.write( " |