Answer:
Step-by-step explanation:
y = x - 5 ← x - 5 can be subbed for y in the second equation, as shown:
3x - y = 7 → 3x - (x - 5) = 7, or 2x + 5 = 7, or 2x = 2, or x = 1.
Subbing 1 for x in the first equation, we get y = 1 - 5 = -4,
and so the solution is (1, -4).
Second system:
2x + 2y = 12
3x + y = 2
Let's eliminate y first. Mult. the 2nd equation by -2, obtaining:
2x + 2y = 12
-6x - 2y = -4
--------------------
-4x = 8, and so x = -2. Subbing -2 for x in the 2nd equation, we get:
3(-2) + y = 2, or -6 + y = 2, or y = 8
Then the solution to the second system of equations is (-2, 8).
Answer:
![y = - \frac{1}{3}x](https://tex.z-dn.net/?f=y%20%3D%20%20-%20%20%5Cfrac%7B1%7D%7B3%7Dx)
Step-by-step explanation:
The equation of a direct variation is generally written as:
![y = mx](https://tex.z-dn.net/?f=y%20%3D%20mx)
Where m is the slope of the equation of the direct variation line.
We want a direct variation equation that contains (6,-2).
We substitute the x=6 and y=-2 to find m.
![- 2 = 6m](https://tex.z-dn.net/?f=%20-%202%20%3D%20%206m)
Divide both sides by 6.
![\frac{ - 2}{ 6} = \frac{6m}{ 6}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20-%202%7D%7B%206%7D%20%20%3D%20%20%5Cfrac%7B6m%7D%7B%206%7D%20)
![- \frac{1}{3} = m](https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B1%7D%7B3%7D%20%3D%20m)
The required equation is
![y = - \frac{1}{3}x](https://tex.z-dn.net/?f=y%20%3D%20%20-%20%20%5Cfrac%7B1%7D%7B3%7Dx)
Option 2: Altitude
I included a picture of what an altitude looks like.
Harry Parson's marital status is as a single taxpayer with no dependents.
Parson's taxable income for state taxes is $110,600 ($112,600 - $2,000).
Data and Calculations:
Annual salary = $112,600
Annual state taxes = $4,424
State tax rate = 4%
Taxable income = $110,600 ($4,424/4%)
Personal allowance = $2,000 ($112,600 - $110,600)
Thus, Harry Parson files as a single (unmarried) taxpayer with no dependent but claims a personal allowance of $2,000.
Learn more about state taxes and allowances at brainly.com/question/24825609
Answer:
0.06 x 60 = 3.6
When you find the percent of a number, just turn the percent to a decimal and multiply it by that number.