Answer:
a = 3 and b = 4
Step-by-step explanation:
Independent Equations
Lines intersect
One solution
In this case the two equations describe lines that intersect at one particular point. Clearly this point is on both lines, and therefore its coordinates (x, y) will satisfy the equation of either line. Thus the pair (x, y) is the one and only solution to the system of equations. One solution is called "consistent". This shows two distinct non-parallel lines that cross at exactly one point. This is called an "independent" system of equations, and the solution is always some x, y-point.
It would be B. I took a test with this
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.
Answer:
x=13
Step-by-step explanation:
so,x-10=3
or,x=3+10
or,x=13
therefore, x=13