document.write( "Question 258796: Solve the system of linear equations.
\n" ); document.write( "x/4 - y/11 = -9/44
\n" ); document.write( "x/6 - y/13 = -1/26 \n" ); document.write( "

Algebra.Com's Answer #190517 by drk(1908) $\"\"$ $\"About$

You can put this solution on YOUR website!
Here are the original equations
\n" ); document.write( "(i) $\"%281%2F4%29x+-+%281%2F11%29y+=+-9%2F44\"$
\n" ); document.write( "(ii) $\"%281%2F6%29x+-+%281%2F13%29y+=+-1%2F26\"$
\n" ); document.write( "--
\n" ); document.write( "step 1 - multiply (i) by 44
\n" ); document.write( "multiply (ii) by 78 to get
\n" ); document.write( "(iii) $\"11x+-+4y+=+-9\"$
\n" ); document.write( "(iv) $\"13x+-+6y+=+-3\"$
\n" ); document.write( "--
\n" ); document.write( "step 2 - multiply (iii) by 3
\n" ); document.write( "multiply (iv) by -2
\n" ); document.write( "(v) $\"33x+-+12y+=+-27\"$
\n" ); document.write( "(vi) $\"-26x+%2B+12y+=+6\"$
\n" ); document.write( "--
\n" ); document.write( "step 3 - add (v) and (vi) together to get
\n" ); document.write( "(vii) $\"7x+=+-21\"$
\n" ); document.write( " $\"x+=+-3\"$
\n" ); document.write( "--
\n" ); document.write( "solve for y to get
\n" ); document.write( "(viii) $\"-33+-+4y+=+-9\"$
\n" ); document.write( " $\"-4y+=+24\"$
\n" ); document.write( " $\"y+=+-6\"$
\n" ); document.write( "--
\n" ); document.write( "so, (-3,-6) \n" ); document.write( "

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