document.write( "Question 538627: i need help to solve the equation
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document.write( "y+2x=11
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document.write( "x+y=5
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document.write( "using the substitution method \n" );
document.write( "
Algebra.Com's Answer #353213 by Mathpassionate(25)![]() ![]() You can put this solution on YOUR website! i need help to solve the equation \n" ); document.write( "y+2x=11 \n" ); document.write( "x+y=5 \n" ); document.write( "using the substitution method\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let's call y+2x=11 Equation 1 \n" ); document.write( "Let's call x+y=5 Equation 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let's find the value of \"y\" from the Equation 1\r \n" ); document.write( "\n" ); document.write( "y+2x=11 \n" ); document.write( "y =11-2x \n" ); document.write( "y =11-2x This is Equation 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now, let's substitute Equation 3 (y =11-2x) into the Equation 2 (x+y=5)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x+y=5 \n" ); document.write( "x+(11-2x)=5 \n" ); document.write( "x+11-2x=5 \n" ); document.write( "x-2x=5-11 \n" ); document.write( "-1x=-6 \n" ); document.write( "x= (-6)/(-1)\r \n" ); document.write( "\n" ); document.write( "x= 6/1 (two negative signs make the fraction positive)\r \n" ); document.write( "\n" ); document.write( "x= 6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now, let's substitute this value (x =6) into the Equation 3 (y =11-2x)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y =11-2x \n" ); document.write( "y =11-2*6 \n" ); document.write( "y =11-12 \n" ); document.write( "y = -1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, the answers are:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x= 6 \n" ); document.write( "y = -1\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Any questions, please feel free to ask me. \n" ); document.write( " \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |