Question

If A + B = -10 and A - B = -2, find the value of A and B ,

Answer 1

Answer:

$A = -6, B = -4$

Step-by-step explanation:

It is given that:

$A+B = -10$        --$(1)$

$A-B = -2$          --$(2)$

Adding $(1)$ and $(2)$

⇒ $A+B+A-B = -10+(-2)$

⇒ $2A = -12$

⇒ $A = -6$

Putting the value of $A$ in $(2)$

⇒ $(-6) - B = -2$

⇒ $-B = -2 + 6$

⇒ $-B = 4$

⇒ $B = -4$