Find the point of intersection of the two lines

Find the point of intersection of the two lines.
-4x + 4 = 4y
y = 2x
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-4x + 4 = 4y
y = 2x 

-4x + 4 = 4(2x)   {substituted 2x, in for y, into top equation}
-4x + 4 = 8x   {multiplied 4 by 2x}
12x = 4   {added 4x to each side}
x = 1/3   {divided each side by 12} 

y = 2x   {bottom original equation}
y = 2(1/3)   {substituted 1/3, in for x, into bottom original equation}
y = 2/3   {multiplied} 

x = 1/3 and y = 2/3   {the point of intersection of the two lines}

- Algebra House
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