The system of equations 3x + 9y^3= -21, 13y^3+4x=-1 has exactly one solution. Use substitution to find the solution.

What is the solution?

Enter your answer as an ordered pair, like this: (42, 53)

Step-by-step explanation:

 -------------------------- (1)

 -------------------------- (2)

Multiply Eq. (1) by 13 and (2) by 9

Equation (1):

--------------------(3)

Equation (2):

------------------------(4)

Subtract Eq. (2) from (1)

39x - 36x = -264

3x = -264

Dividing both sides by 3

x = -88

Put x = -88 in Eq. (1)

3(-88)+9y³ = -21

-264 + 9y³ = -21

9y³ = -21 + 264

9y³ = 243

Dividing both sides by 9

y³ = 27

Taking cube root on both sides

y = 3

Ordered Pair = (x,y) = (-88,3)

Hope this helped!

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)

where are the choices?