If we knew the values of 'x' and 'y', and the boundaries of the feasible region, we could answer that question quickly and easily.
3x + y
The slope is -1. 3x+3y=12 Subtract 3x 3y=-3x+12 Divide by 3 y=-x+4
(3x + 3y)(x + y) = 3(x + y)2
3x-3y
There is not an answer but you can factor it.3x+3y=3(x+y)
If we knew the values of 'x' and 'y', and the boundaries of the feasible region, we could answer that question quickly and easily.
3x + y
20+6y is the equation simplified, but there is no way to figure out the answer.
The slope is -1. 3x+3y=12 Subtract 3x 3y=-3x+12 Divide by 3 y=-x+4
(3x + 3y)(x + y) = 3(x + y)2
3x-3y
3x + 3 (y-z)
(14x-2y)+(7x-3y)+(-3x) = 14x-2y+7x-3y-3x =(14+7-3)x-(2+3)y =18x-5y
2. If x=5 & y =3 then: 3x + 2y = 3 x 5 + 2 x 3 = 15 + 6 = 21 2x + 3y = 2 x 5 + 3 x 3 = 10 + 9 = 19 ⇒ 3x+2y exceeds 2x+3y by 21 - 19 = 2. Alternatively: 3x+2y exceeds 2x+3y by: (3x+2y) - (2x + 3y) = 3x + 2y - 2x - 3y = x - y If x=5 & y=3 then this becomes: x - y = 5 - 3 = 2
2x + 3y = 17 3x + 4y = 24 (2x + 3x) + (3y + 4y) = (17 + 24) 5x + 7y = 41
Multiply first equation by 1.5, giving 3x + 3y = 12, but we are told that 3x + 3y = 6. If there isn't an error in the question then 2 = 1!