Answer:
[tex]x=37.5[/tex]
Step-by-step explanation:
We need to find the solution to the following system of equations:
[tex]y = -\frac{4}{5} x[/tex] and [tex]y=-30[/tex]
By plugging the value of 'y' into the first equation we have that:
[tex]-30 = -\frac{4}{5} x[/tex] ⇒ [tex]30=\frac{4}{5} x[/tex]
Solving for 'x' we have:
[tex]x=37.5[/tex]
So, the solution to the system of equation is: (37.5, -30)