document.write( "Question 473310: Solve the linear system:
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document.write( "x-3y=-16,2x-7y=33 \n" );
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Algebra.Com's Answer #324580 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! 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( " |