Algebra Homework help

Question

Explain why the x-coordinates of the points where the graphs of the equations y=4^-x and y=2^-x+1 intersect are the solutions of the equation 4^-x=2^-x+1

Answer 1

First of all, I assume you mean y=1+2^-x.

In the real number system the transitive law holds: if a=b and b=c, then a=c; this is sometimes written as "things equal to the same thing are equal to each other. The point where the two graphs intersect is the point where BOTH equations are satisfied.