document.write( "Question 1209242: -2x+y=-15 and 2x+3y=-15
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Algebra.Com's Answer #847900 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "-2x+y = -15 \n" ); document.write( "2x+3y = -15\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Add straight down \n" ); document.write( "The x terms go away since they add to 0x or simply 0. \n" ); document.write( "The y terms add to 4y \n" ); document.write( "The right hand sides add to -30\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4y = -30 leads to y = -30/4 = -15/2 = -7.5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then use this value of y in either equation to find x. \n" ); document.write( "-2x+y = -15 \n" ); document.write( "-2x-7.5 = -15 \n" ); document.write( "-2x = -15+7.5 \n" ); document.write( "-2x = -7.5 \n" ); document.write( "x = -7.5/(-2) \n" ); document.write( "x = 3.75 \n" ); document.write( "x = 3 + (3/4) \n" ); document.write( "x = (12/4) + (3/4) \n" ); document.write( "x = (12+3)/4 \n" ); document.write( "x = 15/4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "When stating the solution in fraction form it would be (x,y) = (15/4, -15/2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The decimal equivalent is (x,y) = (3.75, -7.5) \n" ); document.write( "Each decimal value is exact and hasn't been rounded.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I'll let the student verify this solution. \n" ); document.write( " \n" ); document.write( " |