How can I solve 7/k-3 - 3/k-4 = 1/2?
139064
i think i know how to do it, one minute...\nhey is it 7k-14/(2k-6)(k-4) -6K+18/(2K-6)(K-4) = K+4/(2K-6)(K-4)\nor (7k-14)/(2k-6)(k-4) -(6K+18)/(2K-6)(K-4) = (K+4)/(2K-6)(K-4)\ni added parenthesses\n\n>>>ok so that's what you need to do:\nlet's say (2k-6)(k+4) = X\nso you get:\n7k -14/X -6k +18/X = k +4/X\n7k -6k -k = 4/X +14/X +18/X\n0k = 0X\n0 = 0*(2k-6)(k-4)\n=> every k will give us a legal equation!\n\ni really hope it's true, have u got the answer?
636772
k=1/4 or k=2 or many more possibilities
859324
1) 8 - 3 4/5 = 5 - 4/5 = 4 + 1 - 4/5 = 3 1/5\n2) 2 1/6 - 1 2/3 = 1 + 1/6 - 2/3 = 1 1/6 - 4/6 = = 1 - 3/6 = 1 - 1/2 = 1/2\n3) 6 1/10 - 4 3/10 = 2 + 1/10 - 3/10 = 2 - 2/10 = 1 + 1 - 1/5 = 1 4/5\n4) 3 1/8 - 2 1/4 = 1 + 1/8 - 1/4 = 1 + 1/8 - 2/8 = 1 - 1/8 = 7/8\n5) 4/4 - 4 7/8= 1 - 4 7/8 = -3 - 7/8 = -3 7/8
62967
3/4(5 1/3-8/9)=1/2(5 1/3+2/3\n3/4(48/9-8/9)=1/2(6)\n3/4(40/9)=3\n10/3=3\n3 1/3=3\nfalse
1059908
7/8+3/4\n=7/8+6/8\n=13/8\n=1 5/8\ngot it?
949707
What you want to do is progress till the x is the only thing on one side of the equation; so\n\nget the 7 on the other side by adding 7 to each side of the equation:\n3x-7+7=26+7; this comes out to \n3x=33\n\nstill with me?   you have to do the same thing to both sides of the equation to keep it equal, so since you had to add seven to get rid of minus seven, you also have to add seven to the other side.\n\nnow you have  3x=33 and you need to get rid of the 3 multiplier, so now you will divide each side of the equation by 3:\n3x /3=33/3, or\nx=11\n\nto check for accuracy, just plug your answer, 11, back into the original equation and make sure it works:\n3times11  -7= 26.    \n\nsee? it's not so hard when you take it step by step.  in a little while you'll be solving these in your head.\n\nblessings!\ncryllie
609144
7(x-3)=3(x+1/3)\n7x-21=3x+1\n7x-3x=1+21\n4x=22\nx=22/4=5(1/2)
886843
(1)\nh = 3\nk = 4\n5 = a(0-3)² + 4\n5 = 9a + 4\n1 = 9a\n(1/9) = a\n\nY = (1/9)(x - 3)² + 4\n\n(3)\nY = (¼)x² + 4x -  7\nY = (¼)(x²+16x) - 7\n\n x² +16x = x² + 16x + (16/2)² - (16/2)²\n     = [x + (16/2)]² - (16/2)\n     = (x + 8)² - 8²\n     = (x + 8)² - 64\n\nY = (¼)[(x + 8)² - 64] - 7\nY = (¼)(x + 8)² - 16 - 7\nY = (¼)(x + 8)² - 23
12533
r/3 + 7 = -4\nr/3 = -11\nr = -33
264056
k=12, assuming you meant 4(k+2) - 2(k-1) = 30, otherwise it won't work out.
1108271
=1/(z^2)-3z-4 + 3z/(z^2)-6z-7\n=1/(z^2)*(z^2)-3z*(z^2)-4*(z^2)+3z/(z^2)*(z^2)-6z*(z^2)-7*(z^2)\n=1-3(z^3)-4(z^2)+3z-6(z^3)-7(z^2)\n=1+3z-4(z^2)-7(z^2)-3(z^3)-6(z^3)\n=1+3z-11z^2-9z^3\n\nbascially multiply everything by (z^2) and then add the common coefficients
50939
Use a division sign in parentheses. That way three fourths will look like (3/4).
488811
1. square both sides: 4x-3=1296\n2. add 3 to both sides: (4x-3)+3=1296+3; 4x=1299\n3. divide by 4: (4x)/4 = 1299/4;  x=324.75
984538
(2/6) / (4/9)\n1/3 * 9/4\n3/4
903186
change the 4 to 4/1. \n\n4/1*-3/2= -12/6 and then you simplify\n\nfinal answer is -6.\n\nyes you can change -3/2 to -1.5 but you will find it easier in the long run to make the whole number (4) into a fraction. not all equations will be this simple and you won't be able to figure out what the next fraction is in your head.
954059
there is a logical way to indicate solutions\n\nfind smallest A such that 1/ A < 3/7\nA= 4\nNow if A = 4\n1/B+1/C = 3/7 -1/4 = 5/28\n\n5/28 = (1+4)/28 = 1/28+1/7 \n            (2+3)/28 no\nif we take A = 5 we may get more solutions\n\n1/B+1/C= 3/7-1/5= 8/35\n= (1+7)/35 = 1/35+1/5 allow if duplicates permitted else no\nno other\n\ntake A =6 and we get\n\n1/B+1/C = 3/7-1/6 = 11/42\nno other solution as 11/42 is not sum of reciprocal
733649
(4)/(x+7) + (x+3)/(x+7)\n=(4 + (x+3))/(x+7)\n=(4 + x + 3)/(x+7)\n=( x +7)/(x+7)\n=1