document.write( "Question 508559: Please!!I need help. I have to solve the following systems by method of my choice.\r
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document.write( "#1 14x + 2y = 10 and x - 5y = 11\r
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document.write( "#2 2x + 3y= 12 and x-y = 13 \n" );
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Algebra.Com's Answer #341061 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! solve the following systems by method of my choice. \n" ); document.write( "#1 14x + 2y = 10 \n" ); document.write( " x - 5y = 11 \n" ); document.write( "Use the 2nd equation for substitution \n" ); document.write( "x = (5y + 11) \n" ); document.write( "Replace x in the 1st equation \n" ); document.write( "14(5y+11) + 2y = 10 \n" ); document.write( "70y + 154 + 2y = 10 \n" ); document.write( "70 + 2y = 10 - 154 \n" ); document.write( "72y = -144 \n" ); document.write( "y = \n" ); document.write( "y = -2 \n" ); document.write( "use the 1s equation to find x \n" ); document.write( "14x + 2(-2) = 10 \n" ); document.write( "14x = 10 + 4 \n" ); document.write( "14x = 14 \n" ); document.write( "x = \n" ); document.write( "x = 1 \n" ); document.write( ": \n" ); document.write( "Check solutions in the 2nd equation \n" ); document.write( "x - 5y = 11 \n" ); document.write( "1 - 5(-2) = 11 \n" ); document.write( "1 + 10 = 11 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "#2 2x + 3y= 12 \n" ); document.write( " x - y = 13 \n" ); document.write( "Multiply the 2nd equation by 3 \n" ); document.write( "2x + 3y = 12 \n" ); document.write( "3x - 3y = 39 \n" ); document.write( "---------------addition eliminates y, find x \n" ); document.write( "5x = 51 \n" ); document.write( "x = \n" ); document.write( "x = 10.2 \n" ); document.write( "use the 2nd equation to find y \n" ); document.write( "10.2 - y = 13 \n" ); document.write( "-y = 13 - 10.2 \n" ); document.write( "-y = 2.8 \n" ); document.write( "y = -2.8 \n" ); document.write( ": \n" ); document.write( "Check solutions in the 1st equation \n" ); document.write( "2x + 3y = 12 \n" ); document.write( "2(10.2) + 3(-2.8) = 12 \n" ); document.write( "20.4 - 8.4 = 12 \n" ); document.write( " |