document.write( "Question 538627: 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
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Algebra.Com's Answer #353213 by Mathpassionate(25)\"\" \"About 
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
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\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
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\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
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\n" ); document.write( "\n" ); document.write( "Now, let's substitute Equation 3 (y =11-2x) into the Equation 2 (x+y=5)\r
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\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
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\n" ); document.write( "\n" ); document.write( "Now, let's substitute this value (x =6) into the Equation 3 (y =11-2x)\r
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\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
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\n" ); document.write( "\n" ); document.write( "So, the answers are:\r
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\n" ); document.write( "\n" ); document.write( "x= 6
\n" ); document.write( "y = -1\r
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\n" ); document.write( "\n" ); document.write( "Any questions, please feel free to ask me.
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