Find the point of intersection of the two lines.

-4x + 4 = 4y

y = 2x

-4x + 4 = 4y

y = 2x

-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}

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**