document.write( "Question 473310: Solve the linear system:
\n" ); document.write( "x-3y=-16,2x-7y=33
\n" ); document.write( "

Algebra.Com's Answer #324580 by Maths68(1474)\"\" \"About 
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Solve the linear system:
\n" ); document.write( "x-3y=-16,2x-7y=33\r
\n" ); document.write( "\n" ); document.write( "Solution \r
\n" ); document.write( "\n" ); document.write( "x-3y=-16 …………….1
\n" ); document.write( "2x-7y=33 ….………..2\r
\n" ); document.write( "\n" ); document.write( "Multiply equation 1 by -2 (to eliminate x)
\n" ); document.write( "-2x+6y=32 ……………3
\n" ); document.write( "Now add equation 3 and equation 2
\n" ); document.write( "-2x+6y=32
\n" ); document.write( "2x-7y=33
\n" ); document.write( "--------------------
\n" ); document.write( "-y=65 or y=-65
\n" ); document.write( "Put value of y in either equation 1 or 2 to get the value of x
\n" ); document.write( "x-3y=-16
\n" ); document.write( "x-3(-65)=-16
\n" ); document.write( "x+195=-16
\n" ); document.write( "x=-16-195
\n" ); document.write( "x=-211\r
\n" ); document.write( "\n" ); document.write( "(x,y)=(-211, -65)\r
\n" ); document.write( "\n" ); document.write( "Check your answer:-
\n" ); document.write( "Put values of x and y in either 1 or 2 equations\r
\n" ); document.write( "\n" ); document.write( "x-3y=-16
\n" ); document.write( "-211-3(-65)=-16
\n" ); document.write( "-211+195=-16
\n" ); document.write( "-16=-16 \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "2x-7y=33
\n" ); document.write( "2(-211)-7(-65)=33
\n" ); document.write( "-422+455=33
\n" ); document.write( "33=33
\n" ); document.write( "
\n" );