Answer:
We will use substitution to solve this system for x.
[tex]y = \frac{5}{4}x - 2\\y = -\frac{1}{4}x + 19\\\\\frac{5}{4}x - 2 = -\frac{1}{4}x + 19\\\\\frac{3}{2}x - 2 = 19\\\\\frac{3}{2}x = 21\\\\x = 14[/tex]
Now, we will solve for y by pluging in what we got for x into one of the equations.
[tex]y = \frac{5}{4}(14) - 2\\\\y = \frac{35}{2} - 2\\\\y = \frac{31}{2} = 15.5[/tex]
The solution is (14, 15.5).
