which graph represents the solution to the given system?

y=-x+5
y=1/4x+10

the graphs say the points
A- (0,5)
B- (4,9)
C- (0,10)
D- (-4,9)

set the two expressions for y equal to each other, and you have

-x+5 = 1/4 x + 10
-5 = 5/4 x
x = -4
Looks like D to me. Check to make sure the value of y is also correct.