12 1/2
Mark brainliest please
Hope this helps
180 I believe - sorry if it’s wrong :(
Answer:
The answer is 1.
Step-by-step explanation:
Answer:
<h2>x = 8</h2>
![0.2 = \frac{x}{5} - 1.4](https://tex.z-dn.net/?f=0.2%20%3D%20%20%5Cfrac%7Bx%7D%7B5%7D%20%20-%201.4)
Move 1.4 to the left side of the equation
That's
![0.2 + 1.4 = \frac{x}{5} \\ \\ \frac{x}{5} = 1.6](https://tex.z-dn.net/?f=0.2%20%2B%201.4%20%3D%20%20%5Cfrac%7Bx%7D%7B5%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Cfrac%7Bx%7D%7B5%7D%20%20%3D%201.6)
Convert the decimal to fraction
That's
1.6 = 8/5
![\frac{x}{5} = \frac{8}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B5%7D%20%20%3D%20%20%5Cfrac%7B8%7D%7B5%7D%20)
Multiply through by 5
We have
![\frac{x}{5} \times 5 = \frac{8}{5} \times 5 \\ \\ \\ x = 8](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B5%7D%20%20%5Ctimes%205%20%3D%20%20%5Cfrac%7B8%7D%7B5%7D%20%20%5Ctimes%205%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20x%20%3D%208)
Hope this helps you
For this case we have the following system of equations:
![4x-12y = 0\\x + 3y = 7](https://tex.z-dn.net/?f=4x-12y%20%3D%200%5C%5Cx%20%2B%203y%20%3D%207)
To solve, we follow the steps below:
We multiply the second equation by -4:
![-4x-12y = -28](https://tex.z-dn.net/?f=-4x-12y%20%3D%20-28)
We add the equations:
![4x-4x-12y-12y = 0-28](https://tex.z-dn.net/?f=4x-4x-12y-12y%20%3D%200-28)
Equal signs are added and the same sign is placed.
![-24y = -28\\y = \frac {-28} {- 24}\\y = \frac {14} {12} = \frac {7} {6}](https://tex.z-dn.net/?f=-24y%20%3D%20-28%5C%5Cy%20%3D%20%5Cfrac%20%7B-28%7D%20%7B-%2024%7D%5C%5Cy%20%3D%20%5Cfrac%20%7B14%7D%20%7B12%7D%20%3D%20%5Cfrac%20%7B7%7D%20%7B6%7D)
We look for the value of the variable "x":
![x = 7-3y\\x = 7-3 \frac {7} {6}\\x = 7- \frac {21} {6}\\x = \frac {42-21} {6}\\x = \frac {21} {6}\\x = \frac {7} {2}](https://tex.z-dn.net/?f=x%20%3D%207-3y%5C%5Cx%20%3D%207-3%20%5Cfrac%20%7B7%7D%20%7B6%7D%5C%5Cx%20%3D%207-%20%5Cfrac%20%7B21%7D%20%7B6%7D%5C%5Cx%20%3D%20%5Cfrac%20%7B42-21%7D%20%7B6%7D%5C%5Cx%20%3D%20%5Cfrac%20%7B21%7D%20%7B6%7D%5C%5Cx%20%3D%20%5Cfrac%20%7B7%7D%20%7B2%7D)
Thus, the solution of the system is:
![(x, y): (\frac {7} {2}; \frac {7} {6})](https://tex.z-dn.net/?f=%28x%2C%20y%29%3A%20%28%5Cfrac%20%7B7%7D%20%7B2%7D%3B%20%5Cfrac%20%7B7%7D%20%7B6%7D%29)
Answer:
![(x, y): (\frac {7} {2}; \frac {7} {6})](https://tex.z-dn.net/?f=%28x%2C%20y%29%3A%20%28%5Cfrac%20%7B7%7D%20%7B2%7D%3B%20%5Cfrac%20%7B7%7D%20%7B6%7D%29)