Question

Solve the system and find the values of x and y

Answer 1

Answer:

x = $\frac{(a+b)}{2}$

$y=\frac{a-b}{2}$

Step-by-step explanation:

System of equations has been given as,

x + y = a ----------(1)

x - y = b ---------(2)

By adding equation (1) and (2)

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

2x = a + b

x = $\frac{(a+b)}{2}$

By substituting these values in equation (2),

x - y = b

$\frac{a+b}{2}-y=b$

$\frac{a+b}{2}-b=y$

$\frac{a+b-2b}{2}=y$

$\frac{a-b}{2}=y$