1. 4x + 3y = -2
2. x - y = -4
Multiplying 2. by 3 gives: (we have done this so that we end up with a -3y)
3. 3x - 3y = -12
1. added to 3. gives: (now, by adding, the 3y & -3y will cancel out)
4. 7x = -14 (the 4x + the 3x gives 7x, the y's cancel out, -2 + -12 gives -14)
thus x = -14/7
x = -2
Substituting x = -2 into 1. gives
(4 * -2) + 3y = -2
-8 + 3y = -2
3y = -2 + 8
3y = 6
y = 2
Thus x = -2 and y = 2.
4xy+1=3y-7x 4xy-3y=-7x-1 y(4x-3)=-7x-1 y=(-7x-1)/(4x-3)
xy(3x - 2y)(2x + 3y)
mid point of xy
y(z+x) + 4(x+z)
y = x/(x - 3) so y(x - 3) = x xy - 3y = x xy - x = 3y x(y - 1) = 3y x = 3y/(y - 1) for y ≠1 So, the inverse function is f(y) = 3y/(y - 1) where y ≠1
4xy+1=3y-7x 4xy-3y=-7x-1 y(4x-3)=-7x-1 y=(-7x-1)/(4x-3)
x + y = 154x + 3y = 38from the first equation, y = 15-xsubstitute this value in the second equation as follows:4x + 3(15-x)= 384x + 45 - 3x = 38x + 45 = 38x = 38 - 45so, x = -7substitute this value to solve for y:y = 15 -xy = 15-(-7)y = 22
That equals 2xy + 3y which factors to y(2x + 3)
3Y - 12X = 0add 12X to both sides3Y = 12Xdivide both sides integers by 3(3/3)Y = (12/3)XY = 4X---------------the function
Divide by 'x'; x2+xy/x = x(x+y)
4x-y2=2xy 2x ? y5 if its plus its 7 xy
If x - 3y = 12, we can solve for x in terms of y: x = 12 + 3y. Then, to find xy, we multiply x by y: xy = y(12+3y) = 12y + 3y^2.
xy(3x - 2y)(2x + 3y)
-1
mid point of xy
y(z+x) + 4(x+z)
(3x+2y)*(5x-3y) =3x*5x + 3x*(-3y) + 2y*5x + 2y*(-3y) [This is sometimes called the FOIL method - You multiply the First members of each bracket, then the Outers, Inners, Lasts] = 15x2 - 9xy + 10xy - 6y2 = 15x2 + xy - 6y2