document.write( "Question 826750: The following problems need to be changed into slope-intercept form:
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document.write( "13x - 11y = -12
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document.write( "9x - 7y = -7
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document.write( "x - 3y = 6
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document.write( "4x - y = 1 \n" );
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Algebra.Com's Answer #498244 by math-vortex(648)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Hi, there--\r\n" ); document.write( "\r\n" ); document.write( "THE PROBLEM:\r\n" ); document.write( "The following problems need to be changed into slope-intercept form: \r\n" ); document.write( "13x - 11y = -12\r\n" ); document.write( "9x - 7y = -7\r\n" ); document.write( "x - 3y = 6\r\n" ); document.write( "4x - y = 1\r\n" ); document.write( "\r\n" ); document.write( "A SOLUTION:\r\n" ); document.write( "All these equations are in standard form. This is the procedure for changing any equation to slope-intetcept form:\r\n" ); document.write( "\r\n" ); document.write( "(a) Rewrite 13x - 11y = -12 in slope-intercept form.\r\n" ); document.write( "Isolate the y-term on the left side. (Subtract 13x from both sides.)\r\n" ); document.write( "13x - 11y = -12\r\n" ); document.write( "13x - 11y - 13x = -13x - 12\r\n" ); document.write( "\r\n" ); document.write( "Combine like terms (13x-13x=0).\r\n" ); document.write( "-11y = -13x - 12\r\n" ); document.write( "\r\n" ); document.write( "We want the equation in \"y=\" form. \r\n" ); document.write( "Divide both sides by the coefficient of the y-term. (Divide by -11.)\r\n" ); document.write( "y = (-13/-11)x - (12/-11)\r\n" ); document.write( "\r\n" ); document.write( "Simplify the equation.\r\n" ); document.write( "y = (13/11)x + (12/11)\r\n" ); document.write( "\r\n" ); document.write( "(b) Rewrite 9x - 7y = -7 in slope-intercept form.\r\n" ); document.write( "Isolate the y-term on the left hand side. (Subtract 9x from both sides.)\r\n" ); document.write( "9x - 7y = -7\r\n" ); document.write( "9x - 7y - 9x = -9x - 7\r\n" ); document.write( "\r\n" ); document.write( "Combine like terms (9x-9x=0).\r\n" ); document.write( "- 7y = -9x - 7\r\n" ); document.write( "\r\n" ); document.write( "We want the equation in \"y=\" form.\r\n" ); document.write( "Divide both sides by the coefficient of the y-term. (Divide by -7.)\r\n" ); document.write( "y = (-9/-7)x - (7/-7)\r\n" ); document.write( "y = (9/7)x +1\r\n" ); document.write( "\r\n" ); document.write( "I've worked through the first two. Now you try. Feel free to email if you have any questions about the solution.\r\n" ); document.write( "\r\n" ); document.write( "Good luck,\r\n" ); document.write( "\r\n" ); document.write( "Mrs. F\r\n" ); document.write( "math.in.the.vortex@gmail.com\r\n" ); document.write( "\n" ); document.write( " |