The solution of the system is:
x = 62/7
y = 30/7
<h3>
How to solve the system of equations?</h3>
Here we have the system:
4x + 5y = -14
-5x - 8y = 10
To solve it by combining the equations, we need to try to remove one of the variables.
If we take the sum of 5 times the first equation and 4 times the second equation we get:
5*(4x + 5y) + 4*(-5x - 8y) = 5*(-14) + 4*10
If we simplify that we get:
20x + 25y - 20x - 32y = -30
-7y = -30
Now we can solve that for y:
y = -30/-7 = 30/7
Now to get the value of x, we can replace the value of y in any of the given equations:
Using the first one:
4x + 5y = -14
x = (-14 - 5y)/4
x = (-14 - 5*30/7)/4 = (-98/7 - 150/7)/4 = 248/28 = 124/14 = 62/7
The solution of the system is:
x = 62/7
y = 30/7
If you want to learn more about systems of equations:
brainly.com/question/13729904
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Length = 8
W = 3
With some simple trail and error we can arrive at this answer, since area is 24 (a small multiple) we can test numbers that are 5 apart 1,6 2,7 3,8 and multiply them and you will get answer
Answer: 3.375oz
Explanation
Given
• Reduce his daily soda intake by 25%.
,
• Currently, he drinks 4.5oz. cans of soda per day.
,
• Ounces of soda can the patient drink if he reduces his intake by 25%?
We have to build a relation, where 4.5 is our 100% and <em>x </em>is 75% (100 - 25 = 75%):
![\frac{x}{75}=\frac{4.5}{100}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B75%7D%3D%5Cfrac%7B4.5%7D%7B100%7D)
![x=\frac{4.5}{100}\cdot75](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B4.5%7D%7B100%7D%5Ccdot75)
Solving for <em>x:</em>
![x=4.5\cdot0.75](https://tex.z-dn.net/?f=x%3D4.5%5Ccdot0.75)
Answer: Hope this helps you!
Edit: the 2nd photo is more in detail and should help you better. Good luck!
Step-by-step explanation: