1. 1/2x + 3/5y = 20\n2. 3y + 6x = 12\n3. 1/2x - 2y = 8\n         Please explain how you got the answer. This is homework so please respond ASAP.
127038
1) substitute 0 for y leaving 1/2x=20 which equals 10\n2) substitute 0 for y leaving 6x=12 x=2\n3) 1/2x=8 x=4\n\nto get the x intercept you always if have to substitute Y(if present) for 0 and then its just division hope i helped
379609
1) \nx/4 + y/3 = 29/12    times 7 both sides\n\n7x/4 + 7y/3  = 203/12   eq1\n7x/2 + 7y/3  = 133/6     eq2\n\n\neq1 - eq2\n\n7x/4 - 7x/2 = 203/12 - 133/6\n-7/4x = -21/4\nx=3\n\ntherefore 7(3)/2 + 7y/3  = 133/6  \n                                7y/3 = 35/3\n                                  y = 5\n\n\n\n\n\n2)\n7x - 2y = 45    times 2 both sides\n2x + 7y = 28   times 7 both sides\n\n14x - 4y = 90\n14x +49y = 196\n\n-4y-49y=90-196\n-53y = -106\ny= 2\n\n14x - 4 (2) = 90\n14x = 98\nx = 7
413809
1) x = y\nSubstituting:\n4x - 3x = -3\nx = -3\ny = -3\n\n2) 3x + 2y = 6\nx = 2y - 6\nSubstituting:\n3(2y - 6) + 2y = 6\n6y - 18 + 2y = 6\n8y = 24\ny = 3\nx = 2(3) - 6\nx = 0\ny = 3\n\n3) 2x - 6y = 2\n-3x + 9y = -3\nIf you divide the top by 2 and the bottom by -3 you get:\nx - 3y = 1\nx - 3y = 1\n\nThese are equivalent, so you can't determine a single solution.\n\nThe best you can do is simplify the equation to get a formula for y given x:\n3y = x - 1\ny = (1/3)x + (-1/3)\nBecause you can't isolate a single variable, you essentially have one equation and two unknowns.  The solutions will lie along the line with a slope of 1/3 and a y-intercept of -1/3.
415285
Answer 1:\n8y+6=3\n8y = 3-6\n8y = -3\ny = -3/8\n\nAnswer 2:\n3b+14=5b\n3b = 5b -14\n3b - 5b = -14\n-2b = -14\n2b = 14 (Minus signs cancel each other out)\nb = 14/2\nb = 7\n\nAnswer 3:\n4.5m-3=2m-0.5\n4.5m = 2m -0.5 + 3\n4.5m - 2m = 2.5\n2.5m = 2.5\nm = 2.5/2.5\nm = 1\n\nAnswer 4:\n7.3m-16=m+0.38\n7.3m = m + 0.38 + 16\n7.3m - m = 16.38\n6.3m = 16.38\nm = 16.38/6.3\nm = 2.6\n\nAnswer 5:\n18n+2n=6n+11.2\n20n = 6n + 11.2\n20n-6n = 11.2\n14n = 11.2\nn = 11.2/14\nn = 1.6/2\nn = 0.8
441614
1. Evaluate 3x^2 + 5x - 8 when:\n\na) x = 2\n3(2)^2 + 5(2) - 8\n3(4) + 10 - 8\n12 + 10 - 8\n22 - 8\n14 \n\nb) x = -3\n3(-3)^2 + 5(-3) - 8\n3(9) -15 - 8\n27 - 15 - 8\n12 - 8\n4\n\nc) x = 0.62\n3(0.62)^2 + 5(0.62) - 8\n3(0.3844) + 3.1 - 8\n1.1532 + 3.1 - 8\n-3.7468\n\n2. Simplify: 4x - 3x^2 + 2x - x^2\ncollect like terms\n4x + 2x - 3x^2 - x^2 \n6x - 4x^2\n2x(3 - 2x)\n\n3. Simpilfy: (5 x 6^2 - 5 x 3^2)/( 3 + 2)\nUsing BODMAS or PEMDAS\nWe treat the problems in the brackets first\n{(5 x 6^2 - 5 x 3^2)}/(3 + 2)\n\nIn here we treat the multiplications first\n{(5 X 36) - (5 X 9)}/(3 + 2)\n(180 - 45)/5\n135/5\n= 27
414400
x = 3/4y + 8- - - - - - Equation 1\n4x - 3y = 32- - - - - - Equation 2\n- - - - - - - - - - -\n\nReturn the x value in equation 1 to the original algebraic equation.\n\nx = 3/4y + 8\n\nClearing the fraction\n\n4x = 4(3/4y) + 4(8)\n\n4x = 3y + 32\n \nTransposing\n\n4x - 3y = 3y + 32 - 3y\n\n4x - 3y = 32\n\n- - - - - - - - - - -\n\nEquation 1 is the same as equation 2\n\n- - - - - - - - - - - - - - -\n\nThere is a solution since the equations are the same.\n\nUse one equation 4x - 3y = 32\n\nx = 0, solve for the y intercept\n\ny = 0, solve for the x intercept\n\nThe answers for one will be the answer tor the other.\n\n- - - - - - - - -s-
133880
the first part is the same as 8+(14-20)x = 8-6x\nthe second part is the same as 5+2x-2 = 3+2x
373536
Factor out first........\n\n3x(3x-5y)\n\n__________\n\n(3x-5y)(3x+5y)\n\n\nCancel:  the 3x-5y goes away both top and bottom.  That should give you a hint as to what to do next.
350298
2x -  4y = -5\n3x + 4y = -15\n\n5x = -20\n\nx = -20/5                                       \n\nx = -4\n\n*************************\n\n2(-4) - 4y = -5\n\n-8 - 4y = -5\n\n- 4y = -5 + 8\n\n- 4y = 3              \n\ny = -3/4\n\n**************************\n2 (-4) - 4 (-3/4) = -5                                        \n\n-8 - (-3) = -5           \n\n&\n\n3 (-4) + 4 (-3/4) = -15                           \n\n-12 + (-3) = -15
408977
1.  15\n2.   a.  y=(2x-3)^2 + 4\n      b. (3/2;4)
552156
1st one:\n\nadd the 2 equations\n(-4x + 4x) cancels\n(-5y + 4y) = -y\n(-21 + 16) = -5\n\ntherefore y = 5\nsubstitute y = 5 into one of the equation\n\n4x + 4(5) = 16\n4x + 20 = 16\n4x = 16 - 20\n4x = -4\nx = -1\n\n2nd one:\n\nmultiply the first equation by 2 since no addition can cancel x or y\n\n-4x + 2y = 28\nthe other equation remains the same : 4x - 4y = -36\n\nadd the 2 equations cancelling x\n\n2y - 4y = 28 - (-36)\n-2y = 64\ny = - 32\n\nsubstitute y = -32\n\n-2x + (-32) = 14\n-2x = 14 + 32\n2x = -46\nx = -23\n\nThe important step is the first one in which you decide which letter you want to cancel. you have to the find the easiest method. Good luck
459916
1) 45 = 5y\ny = 45/5\ny = 9\n\n5) 5x + 4 = 34\n5x = 34 - 4\n5x = 30\nx = 6  - Not a fraction.\n\nTry a few yourself and see if you can do any on your own.  Or just wait a few minutes and some idiot will come along and do all your homework for you.
335790
5x + 3y = 16 ------ equation 1\n\n2x + 3y = 1 ------- equation 2\n2x = 1 - 3y\nLet x = (1-3y) / 2 \n\nReplace x with y in equation 1, and solve y\n\n5 [ (1-3y) / 2 ] + 3y = 16\n5 (1-3y) + 6y = 32\n5 - 15y + 6y = 32\n9y = -27\ny = -3\n\nReplace the value of y to solve x\n \ntherefore x = [ 1 - 3(-3) ] / 2\nx = 10/2 = 5\n\nYou can try and solve the other pair of system using the same basis as above.
409231
1.  5x + 7= 3x + 21\n     -3x       -3x\n     2x + 7 = 21\n           -7    -7\n     2x = 14\n     /2     /2\n        x = 7\n\n2.  3x - 2 (5-x) = -3(x-10) + 3x\n     3x - 10 - 2x = -3x + 30 + 3x\n     x - 10=30\n     x=40\n\n3.  5( x+1) = 3(2x +3) + 5\n     5x + 5 = 6x+9 + 5\n    5x+5=6x+14\n    5=x+14\n    x=-19
401499
Answer 1:\n3(x + 1) = 24\n3x + 3 = 24\n3x + 3 - 3 = 24 - 3 (Subtract 3 from both sides)\n3x = 21\n3x/3 = 21/3 (Divide both sides by 3)\nx = 21/3\nx = 7\n\nAnswer 2:\n3(x + 2) = -9 - 2x\n3x + 6 = -9-2x\n3x + 2x + 6 = -9 - 2x + 2x (Add 2x to both sides)\n5x + 6 = -9\n5x + 6 - 6 = -9 - 6 (Subtract 6 from both sides)\n5x = -15\n5x/5 = -15/5 (Divivde both sides by 5)\nx = -15/5\nx = -3\n\nAnswer 3:\n3(x + 2) = 9 + 2(x+4)\n3x + 6 = 9 + 2x + 8\n3x + 6 = 2x + 17\n3x + 6 - 6 = 2x + 17 - 6 (Subtract 6 from both sides)\n3x = 2x + 11\n3x - 2x = 2x - 2x + 11 (Subract 2x from both sides)\nx = 11
181518
12x - 16y = 8\n9x - 12y = 6\n\n12x - 16y = 8\n-16y = -12x + 8\ny = (3/4)x - (1/2)\n\n9x - 12y = 6\n-12y = -9x + 6\ny = (3/4)x - (1/2)\n\nANS : 3.) (t,(3/4)t - (1/2))\n\nThats if i understand you correctly.
412623
Right lets see if this helps ......... \n a)\n4x + 4y = -12\n-2x + 3y = 14\n\nDouble the second equation and add:\n4x + 4y = -12\n-4x + 6y = 28\n10y = 16\ny = 16/10\ny = 8/5\n\nThen solve for x:\nx + (8/5) = -3\nx = -3 - 8/5\nx = -4 3/5\n\nb) \n3x + 2y = 5\n2x - 3y = 3\n\nMultiply the top by 2 and the bottom by 3, then subtract:\n6x + 4y = 10\n6x - 9y = 9\n13y = 1\ny = 1/13\n\nThen solve for x:\n3x + 2(1/13) = 5\n3x + 2/13 = 5\n3x = 63/13\nx = 21/13\nx = 1 8/13 \n\n2 points to me, that helps ha ah ha ha