document.write( "Question 1057066: Please solve the system of the linear equation using any algebraic method and if possible show a solution check.\r
\n" ); document.write( "\n" ); document.write( " 3y=11-2x
\n" ); document.write( " 3x=y-11\r
\n" ); document.write( "\n" ); document.write( " Thank you
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #672162 by addingup(3677)\"\" \"About 
You can put this solution on YOUR website!
Substitution:
\n" ); document.write( "3y = 11-2x; 3y+2x = 11
\n" ); document.write( "3x = y-11; y = 3x+11 substitute for y in the equation above
\n" ); document.write( ":
\n" ); document.write( "3(3x+11)+2x = 11
\n" ); document.write( "9x+33+2x = 11
\n" ); document.write( "11x = -22
\n" ); document.write( "x = -2
\n" ); document.write( ":
\n" ); document.write( "3(-2)= y-11
\n" ); document.write( "-6+11 = y
\n" ); document.write( "y = 5
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\n" ); document.write( "Let's check our answers, substitute in the original equations:
\n" ); document.write( "x = -2
\n" ); document.write( "y = 5
\n" ); document.write( "3y = 11-2x
\n" ); document.write( "3(5) = 11-2(-2)
\n" ); document.write( "15 = 11+4 Correct
\n" ); document.write( "Next:
\n" ); document.write( "3x = y-11
\n" ); document.write( "3(-2) = 5-11
\n" ); document.write( "-6 = -6 Also correct.
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