Help me with these equations please?
963450
20 + x = -4x + 15\n5x = -5\nx = -1\n\n5 = 5(x - 1) + 3 - 4x\n5 = 5x - 5 + 3 - 4x\n5 = x - 2\nx = 3\n\n-5 + 6 - 8x = -150\n5 - 6 + 8x = 150\n-1 + 8x = 150\n8x = 149\nx = 149/8
685042
A=2LW+2LH+2WH\n\nA-2LW=2LW-2LW+2LH+2WH\n\nA-2LW=2LH/2L+2WH\n\nA-2LW\n------------ = 2WH\n    2L\n\nA-2LW ~~~(1)  ~~~~~~(1)\n------------  -------- = 2WH   --------\n    2L~~~~~ (2W) ~~~~~(2W)\n\nA - 2LW\n------------- = H\n    2L(2W)
781593
I always have to derive the equations from scratch:\n\nKa = [H+][A-]/[HA]\n\nlog(Ka) = log(H+) + log(A-) - log(HA), multiple both sides by -1\n\npKa = pH + log(HA) - log(A)\n\npH = pKa + log(A-/HA)\n\n4.54 = 4.74 + log(A-/HA)\n\n-0.20 = log(A-/HA)\n\n10^(-0.20) = A-/HA = 0.631\n\nplease check for errors
275079
1) m= (2-4)/(2-5) = -2/-3 = 2/3\n2) m= (1-1)/ (-8+9) = 0/1 = 0
796906
too complicated to type it up, sorry. look up what other ways can sec^2x  be written, and start substituing those in. good luck
915728
1.4u+ut-6t=-13\nu(4+t)-6t=-13\nu(4+t)=-13+6t\nu=(-13+6t)/(4+t)\n\n2.c(a+3)+(c+7)=5a\nc(a+3+1)=5a-7\nc(a+4)=5a-7\nc=(5a-7)/(a+4)\n\n3.you haven't completed the question.solve interms of what?\nif it is w\n4uw-3w=v(v-1)\nw(4u-3)=v(v-1)\nw=v(v-1)/4u-3)
871212
i2=i1R1/R2\ni1=R2i2/R1\n\nR1/R2=i2/i1\n\nR1/Rx = R2/R3\n(R1/R2)*R3=Rx\nRx=(i2/i1)*R3
117522
1. x=1.25\nSol'n.\n1/3x+1/2=11/12\n1/3x=11/12-1/2\n1/3x=5/12\nx=15/12\nx=1.25\n\n2. x=-3\nSol'n.\n1.5x+9=4.5\n1.5x=4.5-9\n1.5x=-4.5\nx=-3\n\n3. x=28\nSol'n.\n2(x+2)=3(x-8)\n2x+4=3x-24\n24+4=3x-2x\nx=28\n\n4. x=-12\nSol'n.\nx+5=-7\nx=-7-5\nx=-12\n\n5. x=-10.5\nSol'n.\n-4/7x=6\nx=-42/4\nx=-10.5\n\n6. x=261\nSol'n.\nx/3+2=89\nx/3=89-2\nx/3=87\nx=261\n\n7. a=3.5\nSol'n.\n3a+13=9a-8\n13+8=9a-3a\n21=6a\na=21/6\na=3.5\n\n8. n=0.8\nSol'n.\n15n+9=21\n15n=21-9\n15n=12\nn=12/15\nn=0.8\n\n9. x=-1\nSol'n.\n2(x+6)=-2(x+-4)\n2x+12=-2x+8\n2x+2x=8-12\n4x=-4\nx=-1\n\n10.x=0\nSol'n.\n-(x+2)-2x=-2(x+1)\n-x-2-2x=-2x-2\n-3x+2x=-2+2\n-x=0\nx=0
803558
1.\nc=(xy^2-1)/y\ndifrentiate w.r.t x\n(y(y^2 + 2xyp)-p(xy^2-1))/y^2=0\ny^3 + 2xy^2p - pxy^2 + p=0\ny^3 +xy^2p +p=0\nwhere p=(dy/dx)\n2.\nsimilarly diffrentiate \n(x+y^2)/x^2=-c\nto get\n2(x^2)yp - x^2 - 2xy^2=0\nthanks
919864
1.  ax + xb\n2.  21x^3 + 24x*2y\n3.  24x^2 + 31x + 10\n4.  24x^2 - 8x - 6\n5.  40x^3 + 66x^2 + 38x + 6\n6.  x^2 - 1\n7.  x^3 - 8
795982
∫_0_2 g(t) dt = 5\n\n(a)\ny= ∫_0_4 g(t/2) dt\nlet t/2 =x ; so dt = 2dx; and the range becomes x:0 to 2\nso, y= ∫_0_2 g(x) 2 dx = 2  ∫_0_2 g(x) dx = 2 * 5 = 10\n\n(b)\ny= ∫_0_2 g(2-t) dt\nlet 2-t=x; so dt = -dx; range becomes x:2 to 0\ny= - - ∫_0_2 g(x) dx = 5
240687
4m+H-(4m-h) =\n4m+H-4m+h=\n4m-4m+H+h=\n0+H+h=\nH+h
712820
write them so they can be added top to bottom (i.e. line up the x's, y's, and constants):\n\n4x + 2y = -4\nx - 2y = -3  (we need to rearrange the original equation here to line things up)\n\nnow add top to bottom:\n\n(4x)+(x)  +  (2y)+(-2y)  =  (-4)+(-3)\n5x + 0 = -7\n5x = -7\nx = -7/5\n\nnow plug x in to either equation to solve for y:\n\n2y = -7/5 + 3\n2y = -22/3\ny = -22/6 = -11/3\n\nHope this helps :)
2024
Case 1: f(x) := x-5*y; (y is parameter)\n\nL{f(x)} = int(exp(-s*x)*f(x),x=0..infinity);\nL{f(x)} = int(exp(-s*x)*(x-5*y),x=0..infinity);\nL{f(x)} = 1/s^2-5*y/s;\n\nCase 2: f(y) := x-5*y; (x is parameter)\n\nL{f(y)} = int(exp(-s*y)*f(y),y=0..infinity);\nL{f(y)} = int(exp(-s*y)*(x-5*y),y=0..infinity);\nL{f(y)} = x/s-5/s^2;
903092
1) b)\n\n2) [H2O]^2 / 2[H2] [O2]\n  \n   [NO]^2 / [N2] [O2]\n\n3) b)\n\n4) b)
195576
Y = U + VX^2\nVX^2 = Y - U\nX^2 = (Y-U)/V\nX = sqrt ( (Y-U)/V )
1137447
2 linear equations\n\n X  + 3Y - 1 = 0\n4X + 7Y + 5 = 0\n\nFROM (1)   4X + 12Y - 4 = 0\nFROM (2)   4X +  7Y + 5 = 0\n\nSUBTRACT\n                          5Y - 9 = 0\n\n                          5Y = 9\n\n                            Y = 1.8\n \n  FROM (1)      X + 5.4 - 1 = 0\n\n                        X + 4.4 =   0\n\n                        X =  -4.4