Answer
Ordered Pair Solution $(\frac{3}{2},1)$
Work Step by Step
We have $$(1)2x+5y = 8$$ $$(2)6x+y=10$$
(1) - 5(2) $$2x -30x +5y -5y = 8 -50$$ $$-28x = -42$$ $$x= \frac{3}{2}$$
Solving for $y$ $$y = 10 - 6(\frac{3}{2}) = 1$$
Ordered Pair Solution $(\frac{3}{2},1)$