document.write( "Question 814665: x+6y=11
\n" ); document.write( "2x-3y=7 \n" ); document.write( "

Algebra.Com's Answer #490448 by LinnW(1048) $\"\"$ $\"About$

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x+6y=11
\n" ); document.write( "2x-3y=7\r
\n" ); document.write( "\n" ); document.write( "Multiply the top equation by -2
\n" ); document.write( "-2x -12y = -22
\n" ); document.write( "2x -3y = 7
\n" ); document.write( "Adding the above together
\n" ); document.write( " -15y = -15
\n" ); document.write( "Divide each side by -15
\n" ); document.write( " y = 1
\n" ); document.write( "Substituting into x+6y=11
\n" ); document.write( " x+6(1)=11
\n" ); document.write( " x + 6 = 11
\n" ); document.write( " x = 5
\n" ); document.write( " x = 5
\n" ); document.write( "Verifying in each equation
\n" ); document.write( "x+6y=11 5 + 6(1) = 11 , 5 + 6 = 11 , so this checks.
\n" ); document.write( "2x-3y=7 2(5) -3(1) = 10 -3 = 7 , so this checks. \n" ); document.write( "

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