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!

the slope of the line is 60

one point on the line is (40,10)

step-by-step explanation:

in the equation outside the parenthesis the equation always tells you the slope. in this case it is 60.

in the parenthesis is also says 40 which is x because it is near the x and 10 is y because it is near y.