Answer:
x+y = 1
x = 3, y = -2
Step-by-step explanation:
Given the expressions
x-y = 5
x²-y² = 5
From 2:
x²-y² = 5
(x+y)(x-y) = 5 .... 3
Substitute equation 1 into 3;
(x+y)(5) = 5
Divide both sides by 5
x+y = 5/5
x+y = 1
b) To deduce x and y, we will solve the equation below simultaneously
x-y = 5
x+y = 1
Add both equations
x+x = 5+1
2x = 6
x = 6/2
x= 3
Substitute x = 3 into equation 1
Recall from 1:
x-y = 5
3-y = 5
y = 3-5
y = -2
Hence x = 3, y =-2
