document.write( "Question 142850: 3 1/4y - 7 1/2 = 2 2/3\r
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document.write( "7/x - 2 = 4/x + 3 \n" );
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Algebra.Com's Answer #103953 by Fruglemiester1234(13)![]() ![]() ![]() You can put this solution on YOUR website! I assume you are just trying to find X and Y in these equations.\r \n" ); document.write( "\n" ); document.write( "1) For this problem I would first of all get the mixed fractions into single fractions(not sure their specific name) Like: \n" ); document.write( " 13/4y - 15/2 = 8/3 note: you can do this by times the outside # by the denominator then adding the numerator....3 1/4 ... 3*4 +1 =13 ...13/4\r \n" ); document.write( "\n" ); document.write( " Then I would get them all to have the same denominator(bottom #)... \n" ); document.write( " 39/12y - 90/12 = 32/12 note: the least common denominator for 4,3,2 is 12. Times both the 13 and the 4 by 3, you get 39 for the top and 12 for the bottom, do this for all three.\r \n" ); document.write( "\n" ); document.write( " Add 90/12 to both sides. You get: \n" ); document.write( " 39/12y = 32/12 + 90/12 \n" ); document.write( " You can add 32 and 90, because they both have the same bottom #. you get: \n" ); document.write( " 39/12y = 122/12 \n" ); document.write( " Divide both sides by 39/12. Instead of dividing on the other side you can times by the recipricol, as follows: \n" ); document.write( " y = 122/12 / 39/12 ... y = 122/12 * 12/39... y = 122*12/39*12 \n" ); document.write( " 12's end up cancelling, because theres one on the top and one on the bottom (like 12/12 = 1). After this you would try to reduce the fraction of 122/39, but in this case it is as simple as it can get.\r \n" ); document.write( "\n" ); document.write( "y = 122/39 \r \n" ); document.write( "\n" ); document.write( "or if you want decimal\r \n" ); document.write( "\n" ); document.write( "y = 3.13\r \n" ); document.write( "\n" ); document.write( "2) 7/x - 2 = 4/x +3\r \n" ); document.write( "\n" ); document.write( " First I would try to get the x's together on one side. We can start to do this by adding 2 to both sides. we end up with: \n" ); document.write( " 7/x = 4/x + 5 \n" ); document.write( " Then I would subtract (4/x) from both sides. \n" ); document.write( " 7/x - 4/x = 5 \n" ); document.write( " Sense both fractions have the same denominator we can add(in this case subtract) the numerators and write them as one fractions, like this: \n" ); document.write( " (7-4)/x = 5 ...7 subtract 4 gets us to.. \n" ); document.write( " 3/x =5 \n" ); document.write( " Then we times both sides by x, getting the x out from beneath the 3.We get: \n" ); document.write( " 3 = 5x \n" ); document.write( " From here its pretty basic, we divide by 5, getting us: \n" ); document.write( " 3/5 = x\r \n" ); document.write( "\n" ); document.write( "X = 3/5\r \n" ); document.write( "\n" ); document.write( "or in decimal value\r \n" ); document.write( "\n" ); document.write( "X = .6\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |