2. (05.03 mc) part a: explain why the x-coordinates of the points where the graphs of the equations y = 2−x and y = 4x + 3 intersect are the solutions of the equation 2−x = 4x + 3. (4 points) part b: make tables to find the solution to 2−x = 4x + 3. take the integer values of x only between −3 and 3. (4 points) part c: how can you solve the equation 2−x = 4x + 3 graphically? (2 points) (10 points)

We have that
y = 2−x
and
y = 4x + 3 

we know that

Part a) 
the graph of both lines, if it is a system of consistent equations, is going to intersect in a single point that will belong to both lines, so the values of that point will satisfy both equations

part b) see the attached table  
observing the table it is deduced that the solution value of x must be in the interval [-1, 0]

part c)
using a graph tool
see the attached figure

the system is solved graphically, by identifying the point of intersection of both lines

the solution is the point (-0.2, 2.2)

X=3 and y=4 is the answer