line up your decimals and then multiply like usual, next count how many places after the decimal your problem(s) was and place it to your answer
Answer:
x = -8
y = 7
Step-by-step explanation:
5x + 7y = 9
2x - 3y = -37
1.) First, multiply each side to match either y-values or x-values. (In this example, we'll use match x-values)
10x + 14y = 18 (multiplied by 2)
10x - 15y = -185 (multiplied by 5)
2.) Then, subtract the entirety of one equation to isolate the y-value.
10x + 14y = 18
-10x + 15y = 185
3.) Add and subtract values and divide to find y.
29y = 203
y = 7
4.) Plug-in y to solve for x into one equation, or repeat steps 1-3.
15x + 21y = 27
14x - 21y = -259
29x = -232
x = -8
Answer: x = -2
Step-by-step explanation: vertical lines are the x axis
basic stuff
1.remove parentheses by multiplying factors.
2.use exponent rules to remove parentheses in terms with exponents.
3.combine like terms by adding coefficients.
4.combine the constants
Answer:
1) No
2) Yes
Step-by-step explanation:
Given : If it took Carlos 30 minutes to cycle from his house to the library yesterday.
To find : Was the distance that he cycled greater than 6 miles?
Solution :
The relation between speed , distance and time is
![\text{Distance}=\text{Speed}\times \text{Time}](https://tex.z-dn.net/?f=%5Ctext%7BDistance%7D%3D%5Ctext%7BSpeed%7D%5Ctimes%20%5Ctext%7BTime%7D)
1) The average speed at which Carlos cycled from his house to the library yesterday was greater than 16 feet per second.
Speed = 16 feet per second
Converting into miles, ![s=\frac{16}{5280}](https://tex.z-dn.net/?f=s%3D%5Cfrac%7B16%7D%7B5280%7D)
Time = 30 minute
Converting into seconds, ![t=30\times 60](https://tex.z-dn.net/?f=t%3D30%5Ctimes%2060)
The distance he covered is
![\text{Distance}=\frac{16}{5280}\times30\times 60](https://tex.z-dn.net/?f=%5Ctext%7BDistance%7D%3D%5Cfrac%7B16%7D%7B5280%7D%5Ctimes30%5Ctimes%2060)
![\text{Distance}=5.45\text{ miles}](https://tex.z-dn.net/?f=%5Ctext%7BDistance%7D%3D5.45%5Ctext%7B%20miles%7D)
No, the distance that he cycled is not greater than 6 miles.
2) The average speed at which Carlos cycled from his house to the library yesterday was less than 18 feet per second.
Speed = 18 feet per second
Converting into miles, ![s=\frac{18}{5280}](https://tex.z-dn.net/?f=s%3D%5Cfrac%7B18%7D%7B5280%7D)
Time = 30 minute
Converting into seconds, ![t=30\times 60](https://tex.z-dn.net/?f=t%3D30%5Ctimes%2060)
The distance he covered is
![\text{Distance}=\frac{18}{5280}\times30\times 60](https://tex.z-dn.net/?f=%5Ctext%7BDistance%7D%3D%5Cfrac%7B18%7D%7B5280%7D%5Ctimes30%5Ctimes%2060)
![\text{Distance}=6.13\text{ miles}](https://tex.z-dn.net/?f=%5Ctext%7BDistance%7D%3D6.13%5Ctext%7B%20miles%7D)
Yes, the distance that he cycled is greater than 6 miles.