Question

Solve for x & y. x-y=a+b ; ax+by=a^2-b^2

Answer 1

1.) x - y = a + b
x = a + b + y
2.) ax + by = a² - b²

a(a + b + y) + by = a² - b²
a² + ab + ay + by = a² - b²
ay + by = - b² - ab
y(a + b) = -b(b + a)
y = - b
x + b = a + b
x = a

Answer 2

Answer:

Step-by-step explanation:

1.) x - y = a + b

x = a + b + y

2.) ax + by = a² - b²

a(a + b + y) + by = a² - b²

a² + ab + ay + by = a² - b²

ay + by = - b² - ab

y(a + b) = -b(b + a)

y = - b

x + b = a + b

x = a