Solve by using the lowest common denominator.\n\nx-1/x + 7/3x = 9/4x\n\nPlease explain how you got your answer as well.\nKey: /= Fraction
217785
multiply both sides by 12x (that's the LCD)\n12x^2-12+28x^2=27x^2\n13x^2=12\nx=+-sqrt(12/13)\n^2 is squared\n+- is plus or minus, i.e. there are two solutions.
472024
-7x-2>=3x-21\nadding -3x+2\n-10x>=-19\n10x<=19\ndividing by10\nx<=1.9
433224
first multiple everythingby x, then simplify and solve:\n\n1/x-2 = 3/x+3 =>\n\nx/x - 2x = 3x/x +3x =>\n\n1 - 2x = 3 + 3x =>\n\n-2  = x
460420
The best way to do this is to MULTIPLY every term by the COMMON DENOMINATOR of ALL FRACTIONS\n\nFor example\n\n3/x + 2/3 = 5/3x\n\nMultiply every term by 3x\n\nyou get 9 + 2x = 5,....\n\nit never fails....for example\n\n3/x + 2/3 = x/6....common denomoinator is 6x...so multiply every term by 6x\n\n18 + 4x = x^2.... x^2-4x-18=0 ..... then you use the quadratic formula to factor etc..
558348
easy\n6x+9=2x+7    by puting variables on same side\n6x-2x=7-9\n4x=-2\nx=- 0.5    (minus half)\n\n#2\n15x + 30= 19x +11\n 30-11= 19x-15x\n4x=19\nx=19/4=4.75
460471
I'll do one for u.\nIn the first,\nMultiplying both sides by x*,we get\nx+3x+2x*=7x*\n4x+2x*=7x*\nMoving 4x and 2x* to the R.H.S.\n5x*-4x+0=0\nThus 5x*-4x=0\nAttempt the others in the same manner.
188908
(3x^3-7x^2+x-20)/(x-3) = 3x^2+2x+7 with a remainder of 1\n         \n         3x^2+2x+7 \n     _______________\nx-3 | 3x^3-7x^2+ x-20\n      -3x^3+9x^2\n    __________\n          2x^2+ x\n         -2x^2+6x\n         ________\n              7x - 20\n             -7x + 21\n             ________\n                   1\n\nI tried to show what this would look like as a division problem but it keeps jumbling up.
542608
You need to find a common denominator for each one.\n(7x+3)/x\n\n(40c+18z)/(15cz)\n\n(8+21)/6y = 29/6y
88901
1/3 + 1/3 + 1/3 = 3/3, or 1 cup\n\n3/4 + 1/4 + 1/4 = 5/4, or 1 and 1/4 cups\n\n2/3 + 2/3 = 4/3, or 1 and 1/3 cups\n\n2/3 + 1/3 + 1/4, you have to get a common denominator, would be the same as 8/12 + 4/12 + 3/12 = 15/12, or 1 and 3/12 cups, or 1 and 1/4 cups\n\n3/4 + 3/4 = 6/4, or 1 and 2/4, or 1 and 1/2 cups******** this is your answer
443013
I think you may have written the question down wrong.\nBut you do it like this:\n1/x +3/x+2 = 7\nSubtract 7 from both sides gives\n1/x +3/x -5 = 0\nMultiply throughout by x gives\n1 + 3 -5x = 0\n4-5x = 0\nmultiply throughout by -1\n5x-4=0\n\nIf that first term was meant to be 1/ x^2, then\n1/x^2 +3/x +2 = 7\nThen subtract 7 from both sides\n1/x^2 +3/x-5=0\nmultiply throughout by x^2\n1+3x-5x^2=0\nmultiply throughout by -1 and re-arrange:\n5x^2-3x-1=0
109099
I'm assuming you're new to algebra, so I'll do it the long way....\n\nSubtract 3 from both sides:\n\n1/2x + 3 - 3 = 9 - 3\n\n1/2x = 6\n\nMultiply both sides by 2\n\n1/2x * 2 = 6 * 2\n\nx = 3\n\nRemember, whatever you do to one side of the equation you need to do to the other side.
226495
3/7 = 9/21\n\nso 14/21, 3/7, 3/21
475242
Multiply (2x+1)/(3x-4) by 7/7 to give 7(2x+1)/7(3x-4)\nMultiply 5/7 by (3x-4)/(3x-4) to give 5(3x-4)/7(3x-4)\n\nNow they have a common denominator you can just add the fractions\n\n(7(2x+1) + 5(3x-4))/7(3x-4)\n\n(14x + 7 + 15x -20)/7(3x-4)\n\n(29x - 13)/7(3x-4)
439045
9x-(-2x) = 5x+4x-{2(x-10+3+7)}(-1) = 5x +2x-11x+22x-5x-x+x(-1)\n\n= 11x
170846
Noooooooooooo\n\nOk...you have to solve two equations.\n\nFIRST ONE\n\nif (4-7x) = -8\n\nthen 4-7x+8 = 0 (by adding 8 to both sides of the equation)\n\nthus 12-7x = 0 (obviously)\n\nthen 12 = 7x (by adding 7x to both sides of the equation)\n\nso x = 12/7\n\nok ?\n\nSECOND ONE\n\nif -(4-7x) = -8\n\nthen -4+7x = -8 (obviously...see that -*- = +)\n\nso 7x = -4 (by adding 4 to both sides of the equation)\n\nso....x = -4/7\n\nFINAL ANSWER IS....x=12/7 or x=-4/7\n\nI hope that is an available answer.\n\nIf so, I'm glad that I could save you from getting your homework question wrong.
68825
(4x^2 + x + 3 ) + ( 5x^2 + 9x - 2 )\n= 4x^2 + x + 3 + 5x^2 + 9x - 2 \n= (4x^2 + 5x^2) + (x + 9x) + (3 - 2)\n= 9x^2 + 10x + 1\n= 9x^2 + 9x + x + 1\n= (9x^2 + 9x) + (x + 1)\n= 9x(x + 1) + 1(x + 1)\n= (9x+1)(x+1)\nx = -1/9 or -1\n\nEDIT: Since this is an expression, the answer is  (9x+1)(x+1). If this was an equation, the answer would be \nx = -1/9 or -1.
352659
I will try to explain step by step....\n\nA) x-2/3 + x+3/4=5/6\nFirst you would place like terms together;\nx+x-2/3+3/4=5/6\nThen try to make all the denominators equal.  Do this by thinking of what the denominators can all go into.  In this case, they can all go into 12 using whole numbers.  Since multiplying by 1 doesn't change the value, you can do that by multiplying the top and bottom of each fraction by the same number.  \n  So the -2/3 would all be multiplied times 4/4 giving you -8/12.  The 3/4 would all be multiplied times 3/3 giving you 9/12.  The 5/6 would all be multiplied times 2/2, giving you 10/12.\n\nThe equation would now look like;\nx+x-8/12+9/12=10/12\n\nYou then combine like terms;\nx+x=2x\n-8/12+9/12= 1/12\nSo your equation is now;\n2x+1/12=10/12\n\nSubtract 1/12 from both sides;\n2x=9/12\n\nAnd divide by 2;\nx=4.5/12 or 9/24\n\n9/24=3/8\n\nSo, the answer to A would be x=3/8\n\nAs for B...I'm not to good at word problems, sorry :)\n\n\nAnd NS in line 3 of your work, it should be -8/12 because -2*4= -8 not 8