what would 7a + 10 = -2a + 37?
912865
bring the a's to one side... u then get 9a = 27 ... divide and answer is a = 3
741209
-2x-3 > 4x+7 .... subtract 7 from both sides, you get...\n-2x-10 > 4x   ..... then add 2x to both sides, and you get...\n-10 > 6x       ...... multiply both sides by 1/6....\n-10/6 > x    ..... flip it around and reduce....\n-5/3 > x  OR  x < -5/3    \n\nx is less than or equal to -5/3\n\nYou can double check your answer.  Pick a number less than x, such as -2 (which is less that -5/3).  Plug it in.  You get...\n-2(-2) - 3 = 4-3 = 1\n4(-2) + 7 = -8+7 = -1\nand 1 is greater than -1, so it works!
743513
it's A\n\n4st+6t -10s-15\n2t(2s+3) -5(2s+3)    \n(I factored out the negative for both numbers in the -10s-15)\n\n(2t-5)(2s+3) or (2s+3)(2t-5)
1118001
3x +2(4x - 9) = -7\n3x + 8x - 18 = -7\n 11x = 11\nx = 1\n\ny = 4(1) - 9\ny = -5
917018
1. Find the reciprocal\nSo...IT'd be\n2b/-7 x 9/7=\n2b(9) / (7)(-7)=\n18b / -49\n\n49x divided by 7/2. Multiply by the reciprocal\n49x(2/7)\n98x/7=\n14x\n\n54x^2  divided by -9/5. Multiply by the reciprocal\n54x^2  times 5/-9   =\n270x^2/-9 =\n-30x^2
701694
7x + y = 1 (subtract 7x from both sides)\ny = 1 - 7x\n\n3x + 2y = -9 (substitute in for y)\n3x + 2(1 - 7x) = -9\n3x + 2 - 14x = -9 (subtract 2 from both sides)\n-11x = -11\nx = 1\n\ny = 1 - 7x (substitute in for x)\ny = 1 - 7(1)\ny = 1 - 7\ny = -6\n\nAnswer: (1, -6)
197692
y-5-y-5=7y\n-10=7y\ny=-10/7
8473
7t+15 > 3t-13\n4t > -28\nt > -7
33091
3m(-6m-2m^2 p - 10p) = 3m(-6m) - (3m)(2m^2 p)- 3m(10p)\n= -18m^2- 6m^2 p - 30mp
361234
(m-6)(m+7)=0\nm=6 or m=-7\n\n(n-1)(n-7)=0\nn=1 or n=7\n\n(x+1)(x+5)=0\nx=-1 or x=-5\n\n(x-2)(x-7)=0\nx=2 or x=7\n\nas easy as ABC!!!
469648
2x - 6y = 37\n-6y = -2x + 37\ny = (2/6)x - (37/6)\ny = (1/3)x - (37/6)
706243
-2y+3=7y-42\n-2y+3-3=7y-42-3\n-2y=7y-45\n-2y-7y=7y-7y-45\n-9y=-45\n-9y/-9=-45/-9\ny=5
777329
5x + 10 + 7x - 14 = -2x\n\n12x -4 = -2x\n\n14x = 4\n\nx = 4 / 14 = 2 / 7  (not 2/17)
700731
-7=9+(-8x)          Subtract 9 from both sides\n\n-16=-8x            Divid both sides by -8\n\nx=2
710485
1 + (18-7n) = -9\nCombine 1 and 18\n19 - 7n = -9\nSubtract 19 from each side\n-7n = -28\nDivide both sides by -7\nn = -28/-7\nReduce\nn = 4
49155
first. ALWAYS start with the inner parentheses and work outward. \n\nSo removing the parentheses we get:\n\n-30x+9 + 30x-30 = x -7\n\nWe can combine the x's on the left side and the numbers. -30x + 30x is zero, so:\n\n-21 = x - 7\n\nWe need to get rid of the -7, so we add 7 to both sides\n\n-21+7 = x -7 + 7\n\nso -14 = x
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)