<span>In Egypt, "the House of Life' was a place that was central to the preservation of culture and ensures ongoing progress of cosmic, political and social life. The closest most likely modern meaning would be library but it doesn't carry the same weight; the Egyptians had both Houses of life and libraries.</span>
You can use substitution method
x - y = 7
(x+y)^2=289
So
Since the square of their sum is 298, their sum without being squared is the square root of 289.
Hence,
x - y = 7
x + y = 17
By subtracting you get the following:
= (0) -2(y)=-10
So -2y=-10
y=-10/-2
y=5
Now, plug in y in both equations to get x
x - (5) = 7
x + (5) = 17
Multiply each equation with its opposite y variables
(5) x - (5) = 7
(-5) x + (5) = 17
= 5x -25 = 35
-5x -25 = -85
Now subtract the equations
= 10x + (0) = 120
10x = 120
x = 120/10
x = 12