25x2 - 36y2 = ( 5x + 6y ) ( 5x - 6y )
5x+6y<=30
If you mean: 5x-6y = 30 then y = 5/6x-5 whereas 5/6 is the slope and -5 is the y intercept
If it's inside the brackets it means that it belongs to that specific term, but if it was outside the brackets, it means that every term inside the brackets goes out with opossite sign. For example: [ -5x + 6y ] = -5x + 6y , the negative is only for 5x, but if you had - [ -5x + 6y] = 5x - 6y , every term inside the bracket goes out with opossite sign.
-x+3y+6x-6y=5x-3y
5x -6y=-30 5x-6y=30 (2x+3y) (2x-3y)=30 4x+6y=30 4x=30 x=30/4
If you mean: -5x+6y = 30 then y = 5/6x+5 as a straight line equation
-5x + 6y = 30At the x-intercept, y=0:-5x = 30 ==> x = -6At the y-intercept, x=0:6y = 30 ==> y = 5
25x2 - 36y2 = ( 5x + 6y ) ( 5x - 6y )
5x+6y<=30
-5/6
- 5x - 6y - 8 = 0Add (5x + 8) to each side:- 6y = 5x + 8Divide each side by -6 :y = (-5/6)x - 8/6y = - 5x/6 - 4/3
-5x + 6y = 24 6y = 5x + 24 y = 5/6 x + 4 the slope is 5 6
- 5x - 6y - 8 = 0Add (5x + 8) to each side:- 6y = 5x + 8Divide each side by -6 :y = (-5/6)x - 8/6y = - 5x/6 - 4/3
Watch closely:5x - 6y = 13Subtract 5x from each side of the equation:-6y = 13 - 5xDivide each side by -6 :y = 5x/6 - 13/6
5x - 6y = -5At the x-intercept, y = 0 ==> 5x = -5x = -1At the y-intercept, x = 0 ==> -6y = -5y = 5/6
the simplest form of 5x + 3y +2x - 6y is 7x-3y