Hi there.
The answer is (-2,7). The second choice.
Explanation:
We can use the graph method or the solving method.
For the graph method, find where both graphs intercept and that is x = - 2 y = 7.
But if you don't use the graph method. We can solve the equation.
![y = 0.5x+ 8 \\ y = \frac{5}{10} x + 8 \\ y = \frac{1}{2} x + 8](https://tex.z-dn.net/?f=y%20%3D%200.5x%2B%208%20%5C%5C%20y%20%3D%20%20%5Cfrac%7B5%7D%7B10%7D%20x%20%2B%208%20%5C%5C%20y%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20x%20%2B%208)
Convert the expressions in simplified form.
Then combine both equations.
![\frac{1}{2}x + 8 = 5 - x](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7Dx%20%2B%208%20%3D%205%20-%20x)
Because there is the denominator. We get rid of it.
Multiply the whole equation by 2.
![\frac{1}{2} x(2) + 8(2) = 5(2) - x(2) \\ x + 16 = 10 - 2x \\ 3x = 10 - 16 \\ 3x = - 6 \\ x = - 2](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20x%282%29%20%2B%208%282%29%20%3D%205%282%29%20-%20x%282%29%20%5C%5C%20x%20%2B%2016%20%3D%2010%20-%202x%20%5C%5C%203x%20%3D%2010%20-%2016%20%5C%5C%203x%20%3D%20%20-%206%20%5C%5C%20x%20%3D%20%20-%202)
Since it is the two variables linear equations, we need to find y-value too.
Substitute x = -2 in any given equations.
I will substitute x = -2 in y = 5-x
![y = 5 - x \\](https://tex.z-dn.net/?f=y%20%3D%205%20-%20x%20%5C%5C%20)
Substitute x = -2 in the equation.
![y = 5 - ( - 2) \\ y = 5 + 2 \\ y = 7](https://tex.z-dn.net/?f=y%20%3D%205%20-%20%28%20-%202%29%20%5C%5C%20y%20%3D%205%20%2B%202%20%5C%5C%20y%20%3D%207)
Thus, the answer is x = -2, y = 7
Or
(-2,7)