In this example, y is equal to 8.
In order to find this, first note that the two x value expressions create a straight line. That means when we add them together they will equal 180. this will give us a value for x.
x + 10 + 10x - 61 = 180
11x - 51 = 180
11x = 231
x = 21
Now that we have the value of x, we can do the same for the straight line created by the x + 10 angle and the 18y + 5 angle.
x + 10 + 18y + 5 = 180
(21) + 10 + 18y + 5 = 180
36 + 18y = 180
18y = 144
y = 8
5x + 20 because rise over run 5 over 1 so its 5x and 20 is on the y intercept line
Step-by-step explanation:
Answer:
- <em><u>average yearly salary of an individual whose final degree is a masters:</u></em><u> $ 66 thousand</u>
<u></u>
- average yearly salary of an individual whose final degree is a bachelors:<u> $ 56 thousand</u>
Explanation:
You can set a system of equation using the following steps:
1. Name the variables:
- average yearly salary of an individual whose final degree is a masters: x
- average yearly salary of an individual whose final degree is a bachelors: y
2. Set the equations that relate the variables:
- the average yearly salary of an individual whose final degree is a masters is $46 thousand less than twice that of an individual whose final degree is a bachelors:
equation (1): x = 2y - 46
- combined, two people with each of these educational attainments earn $122 thousand:
equation (2): x + y = 122
3. Solve the system:
- x = 2y - 46 . . . equation (1)
- x + y = 122 . . . equation (2)
Substitute equation (1) into equation (2)
Solve for y:
- y = 56 (this means that the average yearly salary with a bachelors degree is $ 56 thousand).
Subsitute the value on y in equation 1, to find the value of x:
- x = 2y - 46 = 2(56) - 46 = 112 - 46 = 66.
Thus, the average yearly salary of a person with a masters degree is $ 66 thousand.
The formula of a slope:
We have the points (1, 4) and (1, -3). Substitute:
DIVISION BY ZERO!!!
Answer: The slope is undefined.
It's a vertical line x = 1.
