Solving a system of equations

How do you solve the system of equations:
y = 2x - 4
y = 4x - 10

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Since both expressions are equal to y, then they are equal to each other. 

2x - 4 = 4x - 10   {substituted 2x - 4, in for y, into bottom equation}
-4 = 2x - 10   {subtracted 2x from each side}
2x = 6   {added 10 to each side}
x = 3   {divided each side by 2} 

y = 2x - 4   {top equation}
y = 2(3) - 4   {substituted 3, in for x, into top equation}
y = 6 - 4   {multiplied}
y = 2   {subtracted} 

x = 3 and y = 2 

By the way, (3,2) is the point of intersection of the two lines when 
they are graphed on a coordinate plane, as you see below:

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