y=-x+5 and 5x+2y=14 substituting for y in the seconf equation, we have
5x + 2(-x + 5) = 14 simplify
5x - 2x + 10 = 14
3x + 10 = 14 subtract 10 from both sides
3x = 4 divide both sides by 3
x = 4/3
And y = -(4/3) + 5 = 11/3
So...the solution is (4/3, 11/3)