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)