SOLUTION: solve the system by the method of substitution Xsquared - Ysquared =9 X-Y=1 can you show me the steps to solve?

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solution:
x^2 - y^2 = 9 --- eq. 1 ; x - y = 1 --- eq. 2
from eq. 2 : x - y = 1
x = 1 + y eq. 3
from eq. 1 substi tute eq. 3
x^2 - y^2 = 9
(1 + y)^2 - y^2 = 9
1 + 2y + y^2 - y^2 = 9
1 +2y = 9
2y = 9 - 1

2y = 8
--- ---
2 2
y = 4
substitute the value of y to eq. 3
x = 1 + 4
x = 5
therefore the value of y = 4, x = 5