Answer
Ordered pair solution $(8,2)$
Work Step by Step
We have $$(1) \frac{3}{4}x+\frac{5}{2}y=11$$ $$(2)\frac{1}{16}x-\frac{3}{4}y=-1$$
Multiply (2) by $-12$ and add (1) $$ \frac{3}{4}x -\frac{3}{4}x+\frac{5}{2}y + 9y=11 + 12$$ $$\frac{23}{2}y = 23$$ $$y=2$$
Solving for $x$ $$x = (11-\frac{5}{2}*2)*\frac{4}{3} = 8$$
Ordered pair solution $(8,2)$