What is the x-coordinate of the point in the standard (x, y) coordinate plane at which the 2 lines y = 2x + 6 and y = 3x + 4 intersect?
can you explain with some details?

You have to solve equation system:


Or you can also graph it. Look at enclose.
To graph it you have to draw two lines choosing two points for each one.
For example:
y=2x+6
so if x=0 y = 6
if x = 1 y = 8
You connect this points and you have y=2x+6 line. You do this the same with the second line.