Answer:
Solve by substitution
[y=5/2x-4]
[y= -x+3]
Substitute y = -x +3
[-x+3=5/2x-4]
Isolate x for -x+3=5/2x-4: x=2
For y = -x+3
Substitute x = 2
y= -2+3
Simplify
y=1
The solutions to the system of equations are:
y=1 x=2
Answer:
The commission is 943
Step-by-step explanation:
Take the price of the cat and multiply by the commission rate
23575 * 4%
23575 *.04
943
The commission is 943
Lets say that the two unknown integers are

and

.
We know the following things about

and

:


And, we want to find

.
To solve this, we'll use the expansion of the squared of the sum of any two inegers; this is expressed as:

So, given what we know about the unknown integers, the previous can be written as:

We can easily solve for

:
The answer is 168.
Another approach to solve the problem is, from the two starting equations, compute the values of

and

, which are 12 and 14, and directly compute their product; however, the approach described is more elegant.
ANSWER

EXPLANATION
We were given that,

This implies that,

We use the Pythagorean identity

to get,

We were also given that,

This means that,

This is because,


This angles are in the first quadrant so we pick the positive values.




The correct answer is D