Answer:
x = 5
Step-by-step explanation:
given
4x - 2 = - 7 + 5x
collect terms in x on one side of the equation and numeric values on the other side.
Subtract 4x from both sides
- 2 = - 7 + x ( add 7 to both sides )
5 = x ⇒ x = 5
Answer:
(8)
and ![2x - y = -10](https://tex.z-dn.net/?f=2x%20-%20y%20%3D%20-10)
(9)
and ![4x + y = -30](https://tex.z-dn.net/?f=4x%20%2B%20y%20%3D%20-30)
(10)
and ![x - y = 2](https://tex.z-dn.net/?f=x%20-%20y%20%3D%202)
Step-by-step explanation:
Given [Missing from the question]
![(8).\ (-6,-2)\ \\ (9).\ (-12,18)\ \\ (10).\ (2,0)](https://tex.z-dn.net/?f=%288%29.%5C%20%28-6%2C-2%29%5C%20%5C%5C%20%289%29.%5C%20%28-12%2C18%29%5C%20%5C%5C%20%2810%29.%5C%20%282%2C0%29)
Required
Write a system of linear equations
The solutions to this question is open and have different solutions
Solving (8) (-6,-2)
Let the equations be: x + y and 2x - y
![x + y = -6 - 2](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%20-6%20-%202)
--- (1)
![2x - y = 2 * (-6) - (-2)](https://tex.z-dn.net/?f=2x%20-%20y%20%3D%202%20%2A%20%28-6%29%20-%20%28-2%29)
-- (2)
So, the equations are:
and ![2x - y = -10](https://tex.z-dn.net/?f=2x%20-%20y%20%3D%20-10)
Solving (9) (-12, 18)
Let the equations be: 3x - y and 4x + y
![3x - y = 3 *(-12) - 18](https://tex.z-dn.net/?f=3x%20-%20y%20%3D%203%20%2A%28-12%29%20-%2018)
![3x - y = -54](https://tex.z-dn.net/?f=3x%20-%20y%20%3D%20-54)
![4x + y = 4 * (-12) + 18](https://tex.z-dn.net/?f=4x%20%2B%20y%20%3D%204%20%2A%20%28-12%29%20%2B%2018)
![4x + y = -30](https://tex.z-dn.net/?f=4x%20%2B%20y%20%3D%20-30)
So, the equations are:
and ![4x + y = -30](https://tex.z-dn.net/?f=4x%20%2B%20y%20%3D%20-30)
Solving (9): (2,0)
Let the equations be: x + y and x - y
![x + y = 2 + 0](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%202%20%2B%200)
![x + y = 2](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%202)
![x - y = 2 - 0](https://tex.z-dn.net/?f=x%20-%20y%20%3D%202%20-%200)
![x - y = 2](https://tex.z-dn.net/?f=x%20-%20y%20%3D%202)
So, the equations are:
and ![x - y = 2](https://tex.z-dn.net/?f=x%20-%20y%20%3D%202)
The measure of angle x is 28
Answer:
Explanation:
<u>1. Calculate the monthly interest owed during year 1</u>
<u />
- <em>Interest for first year: 8%</em>
- The monthly rate is the yearly rate divided by 12: 8% / 12 = 0.08/12
- The monthly interest owed is the monthly rate times the balance: (0.08/12)×$1,800 = $12.00
<u>2. Calculate the monthly interest owed during year 2</u>
<u />
- <em>Interest for second year: 23%</em>
- The montly rate is the yearly rate divided by 12: 23% / 12 = 0.23/12
- The monthly interest owed is the monthly rate times the balance: (0.23/12)×$1,800 = $34.50
<u>3. Calculate the difference</u>
- Difference in the monthly interest owed during year 1 and year 2 = $34.50 - $12.00 = $22.50
Hence, the answer is the option c) $22.50
I can't see the line very well, but the initial value, also known as the y-intercept, is 1. I would tell you the rate of change but like I said I can't see the line very well, but count across from where the line touches the y axis until you can go up and hit a corner of a square on the grid and the line.. if that makes sense. I hope this helps!