document.write( "Question 1205381: Is (4,1) a solution to this system of equations?
\n" ); document.write( "9x - 10y=26
\n" ); document.write( "3x - 11y=1
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Algebra.Com's Answer #842138 by math_tutor2020(3817)\"\" \"About 
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\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
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\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
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\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
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\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
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