x -y = 1
5x + 3y = 45
Solve the first equation for x: x = y + 1
Substitute x in the second with y + 1
5x + 3y = 45
5(y + 1) + 3y = 45
5y + 5 + 3y = 45
8y + 5 = 45
8y = 40
y = 5
Substitute 5 for y in x = y + 1
x = y + 1
x = 5 + 1
x = 6
Answer: (6, 5)
<h2>
Greetings!</h2>
Answer:
Angle A is 118°
Step-by-step explanation:
All angles in a circle add up to 180, so this means that all the measurements of the three angles add to 180:
x + 2x + 13 + x - 8 = 180
Clean it up:
3x + x + x + 13 -8
5x -5 = 180
To isolate the 5x, you need to move the +5 over to the other side, making it a negative 5:
5x = 180 - 5
5x = 175
Now divide each side by 5 to get the value of 1x:

x = 35
So angle A is:
3x + 13
3(35) + 13 = 118
<h3>So angle A is 118°</h3>
<h2>Hope this helps!</h2>
Answer:
262.12mph and 419kph
Step-by-step explanation:
Given: It takes 4 hours and 15 minutes to fly from Orlando, Florida, to Boston, Massachusetts. The distance between the two cities is 1114 miles
To Find: the average speend of the plane in miles per hour, If every mile is approximately 1.6 kilometers, the speed of the airplane in kilometers per hour
Solution:
Distance between Orlando,Florida and Boston, Massachusetts

Time taken to cover the distance
and 
We know that,




It is given that,

therefore,

Speed Of plane in Kilometers per hours 

Speed of in miles per hour is
and Speed in kilometer per hour 
Answer:
Okay, here's the method I'm going to use.
If you drive north 6 miles, and then drive east 19 miles, you are technically making a triangle.
19 miles
l_______________
6 milesl
l
You are just missing the last side of the triangle: the straight line stretching from across your starting point to the ending point. You can find this by using the Pythagorean theorem.
a^2 + b^2 = c^2
6^2 + 19^2 = c^2
36 + 361 = c
397 = c
= 19.924859
Rounded to the nearest tenth, your answer is
19.9 miles