Grumpy is… well… grumpy. he wants to play but there is no one to play with! can you him work this equation out?
answers:
a: 22
b: 34
c: 51
d: 45

A. 22

Step-by-step explanation:

Let's use variables to represent the unknowns.

Let x = blue bowl

Let y = orange symbol

Let z = yellow brush

x * x * x = 512

x^3 = 512

x = sqrt^3(512) = 8

xy^2 = 72

8 * y^2 = 72

y^2 = 9

y = 3

yz = 33

z = 11

x + y + z = 8 + 3 + 11 = 22

A

Step-by-step explanation:

8x8x8=512

8x3x3=72

3x11=33

Therefore...

8+3+11=22

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1