4x+7y
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
3x + 3 (y-z)
(14x-2y)+(7x-3y)+(-3x) = 14x-2y+7x-3y-3x =(14+7-3)x-(2+3)y =18x-5y
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!
Since x and y can get smaller and smaller without a limit, there is no minimum for the value of 3x+3y.
To combine the expressions (-4x + 3y + x) and (-2z + 2y), first simplify the first expression by combining like terms: (-4x + x = -3x), so it becomes (-3x + 3y). Now, add the second expression: (-3x + 3y - 2z + 2y). Combining the (y) terms gives you (-3x + 5y - 2z). The final result is (-3x + 5y - 2z).
8y-3x
3x + 7y