document.write( "Question 1205381: Is (4,1) a solution to this system of equations?
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document.write( "9x - 10y=26
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document.write( "3x - 11y=1 \n" );
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Algebra.Com's Answer #842138 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "If we want to check if (4,1) is a solution, then we plug x = 4 and y = 1 into both equations to see if we get a true result or not. \n" ); document.write( "Both equations need to be true or else it's not a solution.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Plug the values into the 1st equation. \n" ); document.write( "9x - 10y = 26 \n" ); document.write( "9*4 - 10*1 = 26 \n" ); document.write( "36 - 10 = 26 \n" ); document.write( "26 = 26 \n" ); document.write( "We arrive at a true statement, so the 1st equation is true.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now let's work on the 2nd equation. \n" ); document.write( "3x - 11y = 1 \n" ); document.write( "3*4 - 11*1 = 1 \n" ); document.write( "12 - 11 = 1 \n" ); document.write( "1 = 1 \n" ); document.write( "This is true as well.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Both equations are true when x = 4 and y = 1. \n" ); document.write( "We have confirmed that (4,1) is indeed a solution \n" ); document.write( " \n" ); document.write( " |