how do you graph 6x+2y=9?
484451
iso late the y by subtracting 6x from each side, so you are left with 2y = 9-6x, then divide each side by the coefficient of y (2) making your equation: y=9/2-3x...the y intercept of the line is 9/2 and the slope is -3 (so start at the point on the graph 9/2, then move 3 squares down, and over to the right one)
794701
The first thing you have to do is group together like terms, and remember that since this is an equation, what you do to one side you have to do to the other side.  I'll show you this in steps.\n\n4x + 2x = 9x - 6  Group together like-terms on the left hand side to get\n6x = 9x - 6    Subtract 9x from both sides to get\n\n6x - 9x = -6   (at this point, note that the 9x on the right hand side disappeared.  This should happen, since subtract 9x would make 9x on the right hand side equal to zero).\n\nNow, group together like terms on the left hand side, to get\n-3x = -6\nSince our goal is to isolate x, we divide both sides by -3\n\n-3x/-3 = -6/-3\nx = 2
976808
c=9\ns=28/15\nr=10\ny=-7/4\nfor the rest, i'd assume you're supposed to graph them need two points to graph lines so\n(-1,13)and(0,61,3)\n(0,-14)(14,0)\ndon't know what you mean by 7+1/4m...doesn't tell enough\n(0,5)(2.5,0)\n(0,5)(5/2,0)\n(1,22/6)(22/6,1)\n(0,7)(-21,0)
833469
6x -9 = -9 + 6x\nsubtract 6x...........-9 = -9\ntherefore it is true.
934742
uh, find the derivative mathematically and then graph it.\n\nfor example to graph derivative of x^2.\n\nfind the derivative equation f(x)=2x\nand then graph y=2x.\n\nooops, didnt realize it was a picture.\n\nfind the zeroes (a high or low point i.e. tangent is a horizontal line)\nyou should be able to track poitive and negative slopes.  not too hard, you'll figure it out.
225505
First manipulate a little to get everything lined up\n\n3x - 2y = -8\n9x - 3y = -21\n\nNow to cancel out one of the variables.  It's easiest to cancel out x, since 9 is a multiple of 3.  Multiply the 1st equation by -3\n\n-9x + 6y = 24\n9x -3y = -21\n\nNow add the 2 equations together.  The -9x and 9x cancel eachother out and you are left with\n\n6y - 3y = 24 - 21\n3y = 3\n\nFinish solving for y, and then plug that number in for y in either one of the equations above and solve for x. Good luck!
806897
First equation:\n4x + 2y = 10\n\nRearrange to get the y-term alone:\n2y = 10 - 4x\n\nDivide both sides by 2 to get it in slope-intercept form (y = mx + b):\ny = -2x + 5\n\nNow you can graph it by drawing a line through (0,5) as the y-intercept and have it go down at a slope of -2 through points (1,3), (2,1), (3,-1), etc.\n\nFor the second equation, draw a horizontal line for y = 4\n\nYou'll see they intersect at the point (½, 4).  I've attached a graph of the two lines...\n\nSo your solution is:\nx = 0.5 (or ½)\ny = 4
240934
Solution: y = 9 - x or y = -x + 9\n\nHere are the steps I took:\nThe equation must equal y = mx + b, so we start with:\n1. x + 2y = 18\n2. x + y = 9 (Divide both sides by 2 to remove it from the "y")\n3. y = 9 - x (Subtract "x" from both sides)\n\nIn this type of equation in algebra, you have to produce steps to isolate the "y".
797240
I'll get you started.\n\n1) x + y = 6, so x = 6 - y\n\nx + z = 8, so since x = 6 - y, (6 - y) + z = 8,  y = 6 - 8 + z\n\ny + z = 2, so (6 - 8 + z) + z = 2, and z + z = 2 - 6 + 8, so \n\n2z = 4, and then z = 2\n\nnow put that number back into the other formulas, \n\ny + z = 2, so y + 2 = 2, so y = 0\n\nthen x + y = 6, so x + 0 = 6, so x = 6\n\n\n2) 2x + 4y = 9 & -2x + y = 5\n\nso 2x = 9 - 4y, so x = (9 - 4y) / 2\n\nsubstitute x, so -2((9 - 4y) / 2) + y = 5, so -9 + 4y + y = 5\n\nso 5y = 5 + 9, 5y = 14, y = 14/5 = 2.8\n\n2x + 4(2.8) = 9,   so 2x + 11.2 = 9,   so 2x = 9 - 11.2\n\nthen x = (9 - 11.2) / 2,  so x = -1.1, \n\ncheck 2x + 4y = 9, 2(-1.1) + 4(2.8) = 9\n\n-2.2 + 11.2 = 9,   9 = 9
341837
y=-9\ny=-6\ny=-3\nincrease by 3\nand the slope is 3
287407
3(16 y_squared - 24xy + 9 x_squared)
685218
-2x+6y=54\n\nSubtract 6y\n\n-2x=54-6y\n\nDivide by -2\n\nx=3y-27
775275
2y^3 + 2x^3 - 9xy = x^5\n\nBy implicit differentiation\n\n6y² dy/dx + 6x² - 9y - 9x dy/dx = 5x^4\nSo 3y(2y - 3) dy/dx = 5x^4 - 6x² + 9y\n\nSo dy/dx = (5x^4 - 6x² + 9y)/[3y(2y - 3)]
931054
Group all elements with y together:\n\ny(x^2 + 6x +9) -x^2 + 2x + 3 = 0\n\nMove the rest to the other side:\n\ny(x+3)^2 = x^2 - 2x + 3 (1)\n\nx = -3 is obviously not the solution of this equation therefore we can divide both sides of (1) by (x+3)^2.\n\n(1) is equivalent to:\n\ny = (x^2 - 2x + 3) / (x+3)^2
812734
The easiest way to graph this equation is to plug in 0 for x and get one point, then plug in 0 for y and get another, then draw the line that connects the two points.\n4(0) - 3y = 24\n-3y = 24\ny = -8\n(0, -8)\n\n4x -3(0) = 24\n4x = 24\nx = 6\n(6, 0)
283919
Find some 6 x 24 graph paper, or take two pieces of lined notebook paper and place them so they form squares and place them on a light box (or window).  You may need to open the curtains first.\n\nHold your 6 x 24 graph so that the 6 part runs along the bottom.  That is, hold your graph paper in "portrait mode".\nthat is like this: |, not like this __.\n\nNow label the X axis on your graph paper.  You need to know that the next whole number after -1 is 0, and then 1 and so on.  This part labels the vertical lines on the graph, and the numbers run horizontally.\n\nNow label the Y axis on your graph paper.  You need to apply the same funny rule for adding 1 to a negative number to know that the next number after -4 is -3, and so forth.  These labels are for the horizontal lines, and the numbers run vertical next to each other.\n\nYou now have a graph that labels 6 * 24 points, from (-1,-4) to (5,20).  Now you are ready to plot some of the points:\n\ny = 3x.  Substitute 0 for X.  y then = 3*0 = 0.  Thus (0,0) is a point to plot.  Place a big black spot on (0,0).\n\ny = 3x.  Substitute 1 for X.  y then = 3*1 = 3.  Thus (3,1) is a point to plot.  Place a big black spot on (3,1).\n\nRepeat this for the infinitely many solutions where y=3x fits on your graph.  You may be able to fool your teacher that you have done it infinitely many times by noticing a pattern that the spots fall on and FAKE the rest.
701107
4x +y = 16   ;2x + 3y = 24      Multiply the 2nd with -2, that gives -4x -6y = -48    Add the two:   0x - 5y = -32  \nDivision by -5 gives  y = 6,4\nInsert this value into the first equation:   4x + 6,4 = 16\n4x = 9,6 ;    x = 2,4\n\nNumber 2 is even easier:\nMultiply the first equation by 2 and add the equations.\n24x + 2y = 50    plus   8x - 2y = 14  gives  32x = 64; x = 2\nYou can now choose:  24 + y = 25  or  16 - 2y = 14\n(That you get when you replace in the original equations \nx by 2)  Anyhow you'll find   y = 1