how do you graph 6x+2y=9?
543906
you have to get the y alone so what you will do is this\n2y=9-6x after that you have to get the y alone in order to put it in to the calculator so you have to do y=9-6x /2\nthis is what you put in to the graphing calculator. ALways get the y alone in order to graph it. Have fun
1055471
You need to graph this function. \nIt is a line.\ny = (x^2)^ 1/2 - 16 \ny = x - 16\nx = 0, y = -16, \nx = 16, y = 0
833469
6x -9 = -9 + 6x\nsubtract 6x...........-9 = -9\ntherefore it is true.
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)
67171
Use the distributive property:\n4*5x + 4*(-9) =24\n20x + -36 = 24\n      +36   +36\n20x = 60\n--------\n20    20\nx=3\nI realize you already have the answer but sometimes the path is more important than the destination...
844276
There is no solution:\n\n6x+7y=7\nMultiply by 2\n12x+14y=14\n\nBut we already have\n12x+14y=5\n\n14 does not equal 5, so there are no common solutions.  What does this mean?  They are parallel lines.\n\nWe can do more:  We can tell the y-intercepts of the lines as well. \n\n6x+7y=7\n7y=7\ny=1\n\n12x+14y=5\n14y=5\ny=5/14\n\nThis means that when the graph of 6x+7y=7 is shifted down 9/14, and then it is the same graph of 12x+14y=5\n\nHope this helps!
194347
9x-6y+7=0  You change this to\n\n-6y=-9x-7  so it is in y=mx+b form.\n\nNext you divide by -6\n\ny=(9/6)x+(7/6)\n\n7/6 is your y intercept. (1.6666...)\nand 9/6 is your slope.  (1.5)\n\nTo find the x intercept you put 0 in for y\n\n0=(9/6)x+(7/6)\n(-7/6)=(9/6)x\n-7=9x\n-7/9=x\n\n-0.777...=x intercept
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
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)]
284003
(x-6)/4 = (x-9)/2\n\nCross-Multiply\n\n2(x-6)=4(x-9)\n\nSolve\n\n2x-12=4x-36\n-12=2x-36\n24=2x\n\nANSWER : x=12
381296
9y=11-x\n9y=11-(y+3) , replace x, since x=y+3\n10y=8       , +x to both sides, 8=11-3\ny=4/5       , divide both sized by 10, \nx=19/5      , x=(4/5)+3
466006
Pick a few easy points like pi/2, pi, 3pi/2, 2pi.  You know the period.  Then just graph it.
58270
x*y=90\nx=2.5y\n\nSubstitute 2.5y in for x:\n(2.5y)*y=90\n2.5yy=90\n2.5/2.5 yy=90/2.5\nyy=36\ny^2=36\nSquareroot(y^2)=squareroot(36)\ny=36\n\nplug-in y:\nx*6=90\n(also known as 6x=90, as is normally written that way)\nx*6/6=90/6\nx=15\n\nThus, 6 and 15\n\ny=15
1137110
first distribuit\n24x-6x=12x-36\nthen\n18x=12x-36\n-12x\n6x=-36\ndivide\nx=-6\n\nadd x\n-10>x+36\nsubtrack 36\n-46>x\nso\nx<-46
981742
x² + 2x + y² - 6y - 6 = 0 --- Add 6 to both sides...\nx² + 2x + y² - 6y = 6 --- Add some parentheses...\n(x² + 2x) + (y² - 6y) = 6 --- Complete the Squares*...\n(x² + 2x + 1) + (y² - 6y + 9) = 6 + 1 + 9 --- Simplify the two expressions in the parentheses, and add the numbers to the right of the "=" sign...\n(x + 1)² + (y - 3)² = 16\n\nFormula: (x - h)² + (y - k)² = r² --- Where (h, k) is the center point of the circle, and r is the radius of the circle.\n\nUsing this formula, (-1, 3) would be the center, and 4 (= √16) is the radius.\n\n\n*Completing the square is an algebra technique, also used in many types of calculus. The essential objective is to reduce a quadratic polynomial in a variable in an equation or expression to a squared polynomial of linear order. This makes the equation easier to solve in many contexts. More information can be found here: http://en.wikipedia.org/wiki/Complete_the_square
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)
365741
I think all you have to do is plug in a few values for C to get a graph.  For example, try 0, 5, 10, 15, 20.  It's continuous so you can connect the dots.\n\n(0,0), (5,87.5), (10,350), (15,787.5), (20,1400)\n\nTotal labor for 20 is 1400.