document.write( "Question 103558: x + y = 12
\n" ); document.write( " y = 2x
\n" ); document.write( "HELP
\n" ); document.write( "

Algebra.Com's Answer #75288 by oberobic(2304)\"\" \"About 
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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!
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