9514 1404 393
Answer:
-2
Step-by-step explanation:
The solution to the system is where the lines cross. The x-coordinate of that point is its horizontal distance from the y-axis.
The solution is (x, y) = (-2, 2). The x-coordinate is -2.
Remember that the formula for the perimeter of a rectangle is:

is the width of the rectangle
is the length of the rectangle
Thus, in this case, you can see that we are adding two of the same monomials and two of another monomial. One monomial is
and another monomial is
. In this case, these monomials would fulfill the perimeter equation of a rectangle.
Applying this perimeter structure, we can find that this expression represents a perimeter equation of a rectangle with sides x + 15 and x + 5.
Answer:
<h2>-5</h2>
Step-by-step explanation:
![A=\left[\begin{array}{ccc}a&b\\c&d\end{array}\right] \\\\\det A=\left|\begin{array}{ccc}a&b\\c&d\end{array}\right|=ad-bc](https://tex.z-dn.net/?f=A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da%26b%5C%5Cc%26d%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5C%5Cdet%20A%3D%5Cleft%7C%5Cbegin%7Barray%7D%7Bccc%7Da%26b%5C%5Cc%26d%5Cend%7Barray%7D%5Cright%7C%3Dad-bc)
![\left\{\begin{array}{ccc}x+2y=5\\x-3y=7\end{array}\right\\\\A=\left[\begin{array}{ccc}1&2\\1&-3\end{array}\right] \\\\\det A=A=\left|\begin{array}{ccc}1&2\\1&-3\end{array}\right|=(1)(-3)-(1)(2)=-3-2=-5](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bccc%7Dx%2B2y%3D5%5C%5Cx-3y%3D7%5Cend%7Barray%7D%5Cright%5C%5C%5C%5CA%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%262%5C%5C1%26-3%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5C%5Cdet%20A%3DA%3D%5Cleft%7C%5Cbegin%7Barray%7D%7Bccc%7D1%262%5C%5C1%26-3%5Cend%7Barray%7D%5Cright%7C%3D%281%29%28-3%29-%281%29%282%29%3D-3-2%3D-5)
Answer:
x= -6
Step-by-step explanation:
Isolate the variable by subtracting 4 from both sides
5x - 14 = 8x + 4 -4
5x - 18 = 8x -5x
-18 = 3x /3
-6 = x
Answer:
2 3/4 miles more
Step-by-step explanation:
5 - 2 1/4 = 2 3/4