2x-7=3x+4 Solving Equation?
485118
2x = 3x+11\n2x-3x = 11\n-1x = 11\nx = -11
850894
2x-3y=5 ….multiply by 1\n                           x+2y=-l .... multiply by -2\n\n                                       2x-3y=5 \n                                      -2x-4y=2 …..add two equations\n                                      ------------\n                                        -7y= 7\n                                          y=-1\n\n substitute y=-1 in the second equation coz it is easier in order to get the x value\n\nx+2y=-1\nx-2=-1\nx=1\n\nSo the solution is (1,-1)
774101
6+4x=3x+2\n4x-3x=2-6\n1x=-4\nx= -4
1165093
3x + 5 = -4(x-6)\nFirst, you need to combine the second part.\n\n3x + 5 = -4x + 24\nNow you switch.\n\n3x + 4x = 24 - 5\nGroup.\n\n7x = 19\nDivide.\n\nx = 19/7
741076
1/x+3/x+2=7\nMultiply by x getting:\n1+3+2x =7x\n4-5x =0\n0x* -5x +4 =0\n\n7/2x+2/x-1=4\nMultiply by 2x getting:\n7 +4 -2x =8x\n11-10x = 0\n0x* -10x +11 = 0\n\nx*+7x+2=2x+4\nx* +7x -2x +2 -4=0\nx* +5x -2 = 0\n\n4x*-3x=2x*+7 \n4x* -2x*-3x -7 =0\n2x*-3x-7 =0\n\n2x+3/x-1=x/4\nMultiply by x getting:\n2x* +3 -2x = x*/4\n2x* - x*/4 -2x +2=0\n2.25x* -2x +2 = 0\n\nThere, its done simply by multiplying and transposing terms to get what you want. You can move any term from one side of the equation to the other as long as you change its sign fro minus to plus or plus to minus.
825528
6x - 3 - 4 - 8x = x +2\n\nLike Terms\n\n-2x - 7 = x + 2\n\nAdd 7 on each side\n\n-2x = x + 9\n\nSubtract x on each side\n\n-3x = 9\n\nDivide by -3 on each side\n\nx = -3
857148
3x*=11x+4\n\n3x*-11x-4=0\n\n(3x+1)(x-4)\n\nx=-1/3    x=4
777329
5x + 10 + 7x - 14 = -2x\n\n12x -4 = -2x\n\n14x = 4\n\nx = 4 / 14 = 2 / 7  (not 2/17)
1047159
3x+3x+2x+2x=70\n10X=70\nx= 70/10\nX=7\n\n3*7=21\n2*7=14\nthe length and width are 21,14
854860
(3x - a)(x - 2)(x - 7) = \n(3x - a)(x^2 - 7x - 2x + 14) = \n(3x - a)(x^2 - 9x + 14) = \n3x^3 - 27x^2 + 42x - ax^2 + 18ax - 14a\n3x^3 + (-27 - a)x^2 + (42 + 18a)x - 14a\n\n3x^3 - 32x^2 + 81\n\nso\n\n(-27 - a)x^2 + (42 + 18a)x - 14a = -32x^2 + 81\n(-27 + 32 - a)x^2 + (42 + 18a)x + (-14a - 81) = 0\n(5 - a)x^2 + (42 + 18a)x - (14a + 81) = 0\n(-a + 5)x^2 + (18a + 42)x - (14a + 81) = 0\n-(a - 5)x^2 + (18a + 42)x - (14a + 81) = 0\n\nx = (-b ± sqrt(b^2 - 4ac))/(2a)\n\nx = (-(18a + 42) ± sqrt((18a + 42)^2 - 4(-(a - 5)(-(14a + 81)))/(2(-(a - 5))\n\nx = (-(18a + 42) ± sqrt(((18a + 42)(18a + 42)) - 4(a - 5)(14a + 81)))/(-2(a - 5))\n\nx = (-(18a + 42) ± sqrt((324a^2 + 756a + 756a + 1764) - 4(14a^2 + 81a - 70a - 405))) / (-2(a - 5))\n\nx = (-(18a + 42) ± sqrt(324a^2 + 1512a + 1764 - 4(14a^2 + 9a - 405))) / (-2(a - 5))\n\nx = (-(18a + 42) ± sqrt(324a^2 + 1512a + 1764 - 56a^2 - 36a + 1620))) / (-2(a - 5))\n\nx = (-(18a + 42) ± sqrt(268a^2 + 1476a + 3384)) / (-2(a - 5))\n\nx = (-6(3a + 14) ± sqrt(4(67a^2 + 369a + 846)))/(-2(a - 5))\n\nx = (-6(3a + 14) ± 2sqrt(67a^2 + 369a + 846)) / (-2(a - 5))\n\nx = (3(3a + 14) ± sqrt(67a^2 + 369a + 846))/(a - 5)\n\nUnless you mistyped something, 3x^3 - 32x^2 + 81 does not factor into (3x - a)(x - 2)(x - 7)\n\n--------------------------------------------------------------------------------\n\nx^3 - x^2 + 16x - 16\n(x^3 - x^2) + (16x - 16)\nx^2(x - 1) + 16(x - 1)\n(x^2 + 16)(x - 1)\n\nif you were to take this further, then\n\n(x - 4i)(x + 4i)(x - 1)
920287
Use substitution.\n\n7x - 3y = 13\n\n7x - 3(2x-3) = 13\n\n7x - 6x + 9 = 13\n\nx + 9 = 13\n\nx = 4\n\nThen go back and plug in to find y\n\ny = 2x - 3\n\ny = 2(4) - 3\n\ny = 8 - 3\n\ny = 5\n\n(4,5) is the answer.
801726
You solve one of the equations for one of the variables, and put the solution into the other equation to solve the other variable:\n\n3x+y=4\ny=4-3x  then go to the other equation, and put this in for y:\n\n-2x-10(4-3x)=-12\n-2x-40+30x=12\n28x=28\nx=1     Now drop this answer into one of the original equations:\n\n3(1)+y=4\ny=4-3=1     So both x & y =1
974614
Simple. Get rid of the denominators on both sides by multiplying by the lowest common multiple (in this case, 8). So that would make the left side: 2(3x +7) and the right side: -x. Then just isolate and solve for x!
880864
3(4x+6)+7\n\nexpand first (ie multiply what is in the bracket by what is out side the bracket)\n\n= (3 times 4x + 3 times 6) +7\n=12 x + 18 + 7\n\nthen collect like terms (i.e. similar powers of x)\n\n= 12x +25
26076
=7(1-x)+2x(1-x)\n=7-7x+2x-2x^2\n=7-5x-2x^2
1056150
7 - [2(3x + 4) - 5] = x - 3\n7 - [6x + 8 - 5] = x - 3\n7 - [6x + 3] = x - 3\n7 - 6x - 3 = x - 3\n4 - 6x = x - 3\n4 - 7x = -3\n-7x = -7\nx = 1\nCheck:\n7 - [2(3*1 + 4) - 5] = 1 - 3\n7 - [(2(3+4) - 5] = -2\n7 - [2(7)-5] = -2\n7 - [14-5] = -2\n7 - 9 = -2\n-2 = -2
11476
algebraic simplification\n\nx over 4+3 = 2x+3 over 5\nx / (4+3) = (2x+3) / 5\nx/7 = (2x+3)/5\n5x/7 = 2x+3\n9x/7 = -3\n\nx = -7/3