now this is an example rewrite an equation as a function of (x)  -3x+4y=11?
83791
Okay, f(x) is the same thing as getting y to be on one side of the equation and everything else on the other side.\n\n-3x+4y=11\n\n4y=3x+11\n\ny=.75x+(11/4)\n\nf(x)=.75x+(11/4)
693011
You get one variable all by itself on one side of an equation.  Then you take what that variable equals, and replace the same variable in another equation with that answer.  easier to show with an example.  Suppose\n\n2x + 3y = 19\n\nx + y = 7\n\nSubtract x from both sides of the second equation to get y = 7 - x\n\nThen replace the y in the first equation with (7-x):\n\n2x + 3(7-x) = 19\n\nDo this out: 2x + 21 - 3x = 19\n\n-1x + 21 = 19\n\n-1x = -2\n\nx = 2\n\nThen plug in 2 for x and find y: 2 + y = 7\n\ny = 5
857148
3x*=11x+4\n\n3x*-11x-4=0\n\n(3x+1)(x-4)\n\nx=-1/3    x=4
771836
Simple substitution.\n\n5(3) - 2(2) + 4(4)\n15 - 4 + 16\n27
496037
-3x + 5y = 8\nx + 2y = 1\n\n(-3x + 5y) + (x + 2y) = 8 + 1\n-3x + 5y + x + 2y = 9\n-2x + 7y = 9\n\n7y = 2x + 9\ny = (2/7)x + (9/7)\n\nx + 2y = 1\nx + 2((2/7)x + (9/7)) = 1\nx + (4/7)x + (18/7) = 1\n7x + 4x + 18 = 7\n11x + 18 = 7\n11x = -11\nx = -1\n\ny = (2/7)x + (9/7)\ny = (2/7)(-1) + (9/7)\ny = (-2 + 9)/7\ny = (7/7)\ny = 1\n\nx = -1\ny = 1
704941
The second equation can be rewritten as:\n3x + 2y = -1\nMultiply both sides by 2\n6x + 4y = -2\n6x + 5y = -7 (this is the first equation)\nSubtract the first equation from the second one.\ny = -5\nNow, plug the y = -5 into the second equation:\n3x +2(-5) = -1\n3x - 10 = -1\n3x = 9\nx = 3\nSo your solution is x = 3 and y = -5
789310
Notice the first equation only involves x.\nx - 5 = 6\nAdd 5 to both sides\nx = 11\nNow replace x with 11 in the second equation\n3(11) - 2y = 5\n33 - 2y = 5\n-2y = 5 - 33\n-2y = -28\ny = -28/-2\ny = 14\nAnswer: (11,14)
1174662
2(x-4y+1)+3(-2+y-2)\n2x-8y+2-6+3y-6\n2x-8y+3y-6-6\n2x-5y-12\n\n2x-5y-12= answer\n\nHope this helps you.
817835
x^3-x^2+3x-1\nx+4&#92;x^4+3x^3-x^2+11x-4\n      -(x^4+4x^3)\n              -x^3-x^2\n            -(-x^3-4x^2)\n                       3x^2+11x\n                     -(3x^2+12x)\n                                   -x-4\n                                 -(-x-4)\n                                         0\nx^4+3x^3-x^2+11x-4=(x+4)(x^3-x^2+3x-1)
796461
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.
796486
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
1144396
you would take the 2x-4y=3 and solve for a variable, such as x=(3-4y)/3   you now have what x equals and you sub that into the other equation so you now have 2[(3-4y)/3]-3y=0 and you should be able to solve that equation
757614
4 (x^2 + 3X -4)\n4(x+4)(X-1)
232592
2x = 3y - 4y + 5 - 2\n2x = -y + 3\n2x + y = 3
269310
Get one variable by itself.  If you choose to get x alone, you would do it like this:\n\n4x-3y=10\n  +3y +3y\n4x=3y+10\n(1/4)(4x)=(1/4)(3y+10)\nx=(3/4)y+(5/2)\n\nThen substitute the above x-value in for x in the second equation.\n\n2x+3y=4\n2[(3/4)y+(5/2)]+3y=4\n(3/2)y+5+3y=4\n      -5    -5\n(9/2)y=-1\n(2/9)(9/2)y=(2/9)(-1)\ny=(-2/9)\n\nSo if y=(-2/9), substitute that in for your original equation to find x.  Hope that aligns with the answer in your book...
209095
4x-3y=10 2x+3y=4\n\n"Add" the equations:\n\n4x-3y=10\n2x+3y=4\n-------------\n6x = 14\nx = 7/3\n\nSubstitute:\n2(7/3) + 3y = 4\n(14/3) + 3y = 4\n3y = 4 - (14/3)\n3y = -2/3\ny = -2/9\n\nCheck the other equation by substitution:\n4x - 3y = 10\n4(7/3) - 3(-2/9) = 10\n(28/3) - (-2/3) = 10\n(28/3) + (2/3) = 10\n30/3 = 10\n10 = 10\n\n(x, y) = (7/3, -2/9)
86546
(3y+1)(-2)+y\n-6y-3+y\n-5y-3\n\n12s+(7-s)2\n12s+14-2s\n10s+14\n\n7x-3x(x+1)\n7x-3x^2-3x\n-3x^2+4x\n\n3t(t-5)+6t^2\n3t^2-15t+6t^2\n9t^2-15t\n\n4w^2-w(2w-3)\n4w^2-2w^2+3w\n2w^2+3w