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.
[tex]y = 0.5x+ 8 \\ y = \frac{5}{10} x + 8 \\ y = \frac{1}{2} x + 8[/tex]
Convert the expressions in simplified form.
Then combine both equations.
[tex] \frac{1}{2}x + 8 = 5 - x[/tex]
Because there is the denominator. We get rid of it.
Multiply the whole equation by 2.
[tex] \frac{1}{2} x(2) + 8(2) = 5(2) - x(2) \\ x + 16 = 10 - 2x \\ 3x = 10 - 16 \\ 3x = - 6 \\ x = - 2[/tex]
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
[tex]y = 5 - x \\ [/tex]
Substitute x = -2 in the equation.
[tex]y = 5 - ( - 2) \\ y = 5 + 2 \\ y = 7[/tex]
Thus, the answer is x = -2, y = 7
Or
(-2,7)
