document.write( "Question 272612: 1. The sum of two numbers is 24. The second number is 3 times the first number.
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document.write( "a. Write a system of equations that represents the information in
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document.write( "b. Solve the system of equations using the Elimination Method
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document.write( "c. Solve the system of equations using the Substitution Method \n" );
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Algebra.Com's Answer #199363 by mananth(16946) You can put this solution on YOUR website! The sum of two numbers is 24. The second number is 3 times the first number. \n" ); document.write( "a. Write a system of equations that represents the information in \n" ); document.write( "b. Solve the system of equations using the Elimination Method \n" ); document.write( "c. Solve the system of equations using the Substitution Method\r \n" ); document.write( "\n" ); document.write( "Let one number be x\r \n" ); document.write( "\n" ); document.write( "The other number will be 24-x\r \n" ); document.write( "\n" ); document.write( "24-x = 3x\r \n" ); document.write( "\n" ); document.write( "24 = 4x\r \n" ); document.write( "\n" ); document.write( "24/4 =x\r \n" ); document.write( "\n" ); document.write( "x=6 & 18 is the other number\r \n" ); document.write( "\n" ); document.write( "------------------------------ \r \n" ); document.write( "\n" ); document.write( "Let one number be x \n" ); document.write( "the other number be y\r \n" ); document.write( "\n" ); document.write( "y=3x\r \n" ); document.write( "\n" ); document.write( "x+y=24 Substitute the value of y in the equation \n" ); document.write( "x+3x=24 \n" ); document.write( "4x=24 \n" ); document.write( "x=6 y=3x so y=18\r \n" ); document.write( "\n" ); document.write( "-------------------------- \r \n" ); document.write( "\n" ); document.write( "x+y =24 --------------1\r \n" ); document.write( "\n" ); document.write( "y=3x\r \n" ); document.write( "\n" ); document.write( "y-3x=0 ---------------2\r \n" ); document.write( "\n" ); document.write( "subtract equartion 2 from 1 \n" ); document.write( "x+y- (y-3x)=24\r \n" ); document.write( "\n" ); document.write( "x+y-y+3x=24\r \n" ); document.write( "\n" ); document.write( "x+3x=24\r \n" ); document.write( "\n" ); document.write( "4x=24 \n" ); document.write( "x=6\r \n" ); document.write( "\n" ); document.write( "y=3x\r \n" ); document.write( "\n" ); document.write( "y=18\r \n" ); document.write( "\n" ); document.write( "The numbers are 6 & 18\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |