2x+3y=60 solve for x...
x=(60-3y)/2
p=xy^3, using x from above:
p=y^3(60-3y)/2
p=(60y^3-3y^4)/2
dp/dy=(180y^2-12y^3)/2
dp/dy=90y^2-6y^2
dp/dy=0 when:
90y^2-6y^3=0
6y^2(15-y)=0, we know y>0 so
y=15, since x=(60-3y)/2
x=7.5
(We solved it this way because otherwise you get quartic equations and cubic derivatives, yuck :P)
Answer:
Simplifying
x = 11
Step-by-step explanation:
Simplifying
6x + -27 = 39
Reorder the terms:
-27 + 6x = 39
Solving
-27 + 6x = 39
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '27' to each side of the equation.
-27 + 27 + 6x = 39 + 27
Combine like terms: -27 + 27 = 0
0 + 6x = 39 + 27
6x = 39 + 27
Combine like terms: 39 + 27 = 66
6x = 66
Divide each side by '6'.
x = 11
Simplifying
x = 11
Answer:
1.55
x
−
2.16
Step-by-step explanation:
Answer:
x=4,y=2
Step-by-step explanation:
solve one of the equations for x/y and then plug it into the other
