Question

Ifa-b=4 and a^2- b^2=3, what is the value of a+b?

Answer 1

Answer:

$\large\boxed{a+b=\dfrac{3}{4}}$

Step-by-step explanation:

$\text{Use}\ a^2-b^2=(a-b)(a+b).\\\\\text{We have}\ a-b=4\ \text{and}\ a^2-b^2=3.\\\\\text{Substitute:}\\\\3=4(a+b)\qquad\text{divide both sides by 4}\\\\\dfrac{3}{4}=(a+b)\to a+b=\dfrac{3}{4}$