Morgan can paint a room in 10 hours, while Sophia can paint it in 4 hours. If Morgan paints for x hours and Sophia paints for y hours, they will finish half of the painting, while if Morgan paints for y hours and Sophia paints for x hours they will paint the whole room. Find the ordered pair (x,y), expressing both x and y as simplified fractions.
The equation would be
Rate x=time y= job
1/10x+1/4 y =1/2
1/10y+1/4 x = 1
Now, solve for x and y.
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