document.write( "Question 798457: Use algebra to solve this system of equations:
\n" ); document.write( "3x = -26 + 4y and x-6y =11 \n" ); document.write( "
Algebra.Com's Answer #482240 by waynest(281)\"\" \"About 
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3x - 4y = -26
\n" ); document.write( " x - 6y = 11
\n" ); document.write( "multiply the second equation by 3 and subtract it from the first:\r
\n" ); document.write( "\n" ); document.write( "3x - 4y = -26
\n" ); document.write( "3x - 18y = 33
\n" ); document.write( "14y = -59
\n" ); document.write( "14y/14 = -59/14
\n" ); document.write( "y = -59/14\r
\n" ); document.write( "\n" ); document.write( "substitute -59/14 for y in the first equation to get x\r
\n" ); document.write( "\n" ); document.write( "3x - 4(-59/14) = -26
\n" ); document.write( "3x + 118/7 = -26
\n" ); document.write( "3x + 118/7 - 118/7 = -26 - 118/7
\n" ); document.write( "3x = -300/7
\n" ); document.write( "3x/3 = (-300/7)/3
\n" ); document.write( "x = -100/7\r
\n" ); document.write( "\n" ); document.write( "check:
\n" ); document.write( "3(-100/7) - 4(-59/14) = -26
\n" ); document.write( "(-300/7) (-118/7) = -26
\n" ); document.write( "-26 = -26\r
\n" ); document.write( "\n" ); document.write( "x - 6y = 11
\n" ); document.write( "(-100/7) - 6(-59/14) = 11
\n" ); document.write( "(-100/7) - (-177/7) = 11
\n" ); document.write( "11= 11
\n" ); document.write( " \n" ); document.write( "
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