Answer:
The value of "x" is 5.
Step-by-step explanation:
In order to solve this system of equations, we first have to take the first equation and use it to represent "y" in terms of "x". We do that in the following way...
![x + 3y = 2\\3y = 2 - x\\y = \frac{2}{3} - \frac{x}{3}](https://tex.z-dn.net/?f=x%20%2B%203y%20%3D%202%5C%5C3y%20%3D%202%20-%20x%5C%5Cy%20%3D%20%5Cfrac%7B2%7D%7B3%7D%20-%20%5Cfrac%7Bx%7D%7B3%7D)
Now, we need to take the second equation and substitute "y" for the equivalent value in terms of "x". After doing this we will get the following equation, which we can solve to get the value of "x".
![4x - 3y = 23\\4x-3(\frac{2}{3} - \frac{x}{3}) = 23\\4x - 2 + x = 23\\5x - 2= 23\\5x = 25\\x = 5](https://tex.z-dn.net/?f=4x%20-%203y%20%3D%2023%5C%5C4x-3%28%5Cfrac%7B2%7D%7B3%7D%20-%20%5Cfrac%7Bx%7D%7B3%7D%29%20%3D%2023%5C%5C4x%20-%202%20%2B%20x%20%3D%2023%5C%5C5x%20-%202%3D%2023%5C%5C5x%20%3D%2025%5C%5Cx%20%3D%205)
Therefore, the value of "x" is 5.
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