Answer:
m = 2, n = - 3
Step-by-step explanation:
Given the 2 equations
2m + 3n = - 5 → (1)
5m + 3n = 1 → (2)
Subtract (2) from (1) term by term to eliminate n
2m - 5m = - 5 - 1
- 3m = - 6 ( divide both sides by - 3 )
m = 2
Substitute m = 2 into either of the 2 equations and solve for n
Substituting into (1)
2(2) + 3n = - 5
4 + 3n = - 5 ( subtract 4 from both sides )
3n = - 9 ( divide both sides by 3 )
n = - 3
+3 . I think, hope this helps
Answer:
B
Step-by-step explanation:
Our equation is as follows, B(c)=1000(1+r)^3. We are being asked to manipulate the equation and have it be r equals in order to solve for an interest rate when given a balance B. To solve the equation for the variable r, we must isolate r by completing order of operations or PEMDAS backwards.
SADMEP allows us to undo subtraction, addition, and etc in the correct order. We have no subtraction or addition outside of more complex operations. So we move to multiplication or division.
We divide both sides by 1000.
We simplify the right side.
We need to now undo the exponent of 3 by using the inverse, a cube root.
![\sqrt[3]{\frac{B}{1000}} =\sqrt[3]{(1+r)^{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7BB%7D%7B1000%7D%7D%20%3D%5Csqrt%5B3%5D%7B%281%2Br%29%5E%7B3%7D%7D)
We simplify the right side.
![\sqrt[3]{\frac{B}{1000}} =(1+r)](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7BB%7D%7B1000%7D%7D%20%3D%281%2Br%29)
We subtract 1 to both sides to get r alone.
![-1+\sqrt[3]{\frac{B}{1000}} =r](https://tex.z-dn.net/?f=-1%2B%5Csqrt%5B3%5D%7B%5Cfrac%7BB%7D%7B1000%7D%7D%20%3Dr)
For our last step, we simplify the denominator of the root because 10*10*10=1000.
![-1+\frac{\sqrt[3]{b} }{10} =r](https://tex.z-dn.net/?f=-1%2B%5Cfrac%7B%5Csqrt%5B3%5D%7Bb%7D%20%7D%7B10%7D%20%3Dr)
This is answer choice b.
Why "dependent?"
If the system of equations can be shown to have a unique solution, we'd call it "independent." Have you tried solving this system? I'd use matrix row operations to do that.
I found that the last row of this 3 by 4 matrix comes out to 0 0 0 0. This means that the system is DEPENDENT; it does not have a unique solution.
Please review the meaning of "independent" and of "dependent" in this matrix algebra context.
Multiply 5 by 2 since there are two 5's and do the same to 8 as well. You would then add the #'s together (10+16) to get your perimeter, 26.
