document.write( "Question 56682: Solve the system by substitution.
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document.write( "x+y=12
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document.write( "y=2x \n" );
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Algebra.Com's Answer #38456 by funmath(2933)![]() ![]() ![]() You can put this solution on YOUR website! Solve the system by substitution. \n" ); document.write( "L1) x+y=12 \n" ); document.write( "L2) y=2x \n" ); document.write( ": \n" ); document.write( "Substitute 2x in for y in L1) and solve for y: \n" ); document.write( "x+(2x)=12 \n" ); document.write( "3x=12 \n" ); document.write( "3x/3=12/3 \n" ); document.write( "x=4 \n" ); document.write( ": \n" ); document.write( "Substitute 4 in for x in L2) and solve for x: \n" ); document.write( "y=2(4) \n" ); document.write( "y=8 \n" ); document.write( "The solution is (x,y)=(4,8) \n" ); document.write( ": \n" ); document.write( "Check by substituting (4,8) into L1 and L2 and see if they equal. \n" ); document.write( "L1) (4)+(8)=12 \n" ); document.write( "12=12 L1 checks out! \n" ); document.write( "L2) (8)=2(4) \n" ); document.write( "8=8 L2 checks too!!! We're right!!! \n" ); document.write( "Happy Calculating!!! \n" ); document.write( " \n" ); document.write( " |