Answer:
Step-by-step explanation:
x*y = 490
x + y = 49
x = 49 - y
y*(49 - y ) = 490
49y - y^2 = 490
0 = y^2 - 49y + 490
This does factor (oddly). It doesn't look like it, but it does.
(y - 35) (y - 14) = 0
y - 35 = 0
y = 35
y - 14 = 0
y = 14
x = 49 - y
Let y = 14
x = 49 - 14
x = 35
x = 49 - y
let y = 35
x = 49 - 35
y = 14
Solutions
(35,14)
(14,35) Both solutions are valid.