Question

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

Answer 1

`\large\boxed{a+b=(3)/(4)}`

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}\\\\(3)/(4)=(a+b)\to a+b=(3)/(4)`