X+y=5 8.5x + 10.25y = 46

X+y=5

8.5x+10.25y=46

solve for y in the equation x+y=5 to plug into the equation 8.5x+10.25y=46 to find x:

x+y=5 - - > y=-x+5

plug - x+5 in for y in the 2nd equation:

8.5x+10.25 (-x+5) = 46 (distribute 10.25)

8.5x-10.25x+51.25=46 (collect like terms and solve for x)

-1.75x+51.25=46

-1.75x=-5.25

x=3

Now plug 3 in for any of the x's to find x, I'm doing the 1st equations cause it's easier:

(3) + y=5

3+y=5

y=2

y=2 and x=3

(3,2)