Answer:
Step-by-step explanation:
Let the numbers be x and y.
<u>The equations are:</u>
<u>Add up the equations to eliminate y and solve for x:</u>
- x - y + 2x + y = 2 + 13
- 3x = 15
- x = 15/3
- x = 5
<u>Now find the value of y:</u>
- y = x - 2
- y = 5 - 2
- y = 3
Answer: No solution.
Step-by-step explanation:
1. The lines are parallel.
2. If you solve the system of equations you would end up with 0x, so you cannot solve for x.
Answers:
Step-by-step explanation:
Our equation is:
With f meaning "fare" (price) and m meaning "miles".
Question 7 - Juan's fare for his ride costs $6.05. We must solve for
.
Step 1. Substitute - <em>Substitute the fare for
in the equation.</em>
![6.05=2.25+0.20(m-1)](https://tex.z-dn.net/?f=6.05%3D2.25%2B0.20%28m-1%29)
Step 2. Simplify/Solve - Solve for
.
![6.05=2.25+0.20(m-1)](https://tex.z-dn.net/?f=6.05%3D2.25%2B0.20%28m-1%29)
<em>- Distribute</em>
![6.05=2.25+0.2m-0.2](https://tex.z-dn.net/?f=6.05%3D2.25%2B0.2m-0.2)
<em>- Subtract 0.2 from 2.25</em>
![6.05=2.05+0.2m](https://tex.z-dn.net/?f=6.05%3D2.05%2B0.2m)
<em>- Subtract -2.05 from 6.05</em>
![4=0.2m](https://tex.z-dn.net/?f=4%3D0.2m)
<em>- Divide both sides by 0.2</em>
![20=m](https://tex.z-dn.net/?f=20%3Dm)
<u>And you have your answer of 20 miles.</u>
Question 8 - Same equation, different fare.
Step 1. Substitute
![7.65=2.25+0.20(m-1)](https://tex.z-dn.net/?f=7.65%3D2.25%2B0.20%28m-1%29)
Step 2. Solve
![7.65=2.25+0.20(m-1)\\7.65=2.25+0.20m-0.20\\7.65=2.05+0.20m\\5.6=0.20m\\28=m](https://tex.z-dn.net/?f=7.65%3D2.25%2B0.20%28m-1%29%5C%5C7.65%3D2.25%2B0.20m-0.20%5C%5C7.65%3D2.05%2B0.20m%5C%5C5.6%3D0.20m%5C%5C28%3Dm)
And like so, we have ![m = 28](https://tex.z-dn.net/?f=m%20%3D%2028)
<em>The equation given is
. S = typing speed, w = words per 5 mins, and e= errors.</em>
Question 9 -
<em>We are given this information: S = 55, W = 285. We are solving for e</em>.
Substitute -
![55=\frac{1}{5} (285 -10e)](https://tex.z-dn.net/?f=55%3D%5Cfrac%7B1%7D%7B5%7D%20%28285%20-10e%29)
Solve -
![55=\frac{1}{5} (285 -10e)\\55=\frac{1}{5} (285 -10e)\\55= 57-2e\\-2=-2e\\1=e](https://tex.z-dn.net/?f=55%3D%5Cfrac%7B1%7D%7B5%7D%20%28285%20-10e%29%5C%5C55%3D%5Cfrac%7B1%7D%7B5%7D%20%28285%20-10e%29%5C%5C55%3D%2057-2e%5C%5C-2%3D-2e%5C%5C1%3De)
So they would make 1 error.
Question 10 -
<em>Information given: 300 = w, 5=e. We are solving for S</em>
Substitute -
![S= \frac{1}{5} (300-10(5))](https://tex.z-dn.net/?f=S%3D%20%5Cfrac%7B1%7D%7B5%7D%20%28300-10%285%29%29)
Solve -
![S= \frac{1}{5} (300-10(5))\\S= \frac{1}{5} (300-50)\\S= \frac{1}{5} (300-50)\\S= \frac{1}{5} (250)\\S= 50](https://tex.z-dn.net/?f=S%3D%20%5Cfrac%7B1%7D%7B5%7D%20%28300-10%285%29%29%5C%5CS%3D%20%5Cfrac%7B1%7D%7B5%7D%20%28300-50%29%5C%5CS%3D%20%5Cfrac%7B1%7D%7B5%7D%20%28300-50%29%5C%5CS%3D%20%5Cfrac%7B1%7D%7B5%7D%20%28250%29%5C%5CS%3D%2050)
Their speed is 50.
Question 11 -
<em>Information given: S = 65, e = 4. We are solving for w.</em>
Substitute -
![65=\frac{1}{5} (w-10(4))](https://tex.z-dn.net/?f=65%3D%5Cfrac%7B1%7D%7B5%7D%20%28w-10%284%29%29)
Solve -
![65=\frac{1}{5} (w-10(4))\\65=\frac{1}{5} (w-40)\\65=\frac{1}{5}w-8\\73=\frac{1}{5}w\\365=w](https://tex.z-dn.net/?f=65%3D%5Cfrac%7B1%7D%7B5%7D%20%28w-10%284%29%29%5C%5C65%3D%5Cfrac%7B1%7D%7B5%7D%20%28w-40%29%5C%5C65%3D%5Cfrac%7B1%7D%7B5%7Dw-8%5C%5C73%3D%5Cfrac%7B1%7D%7B5%7Dw%5C%5C365%3Dw)
So w = 365.
Your answer would be A b=a+5
Harry ran the most on Monday