At the point where the two lines intersect, the values of x and y are equal.

First we find the value of x. In this case, the equations y = 3x + 5 and y = -x + 7 are both solved for y, we can set them equation to one another and solve for x by elimination as,

To find the y-coordinate of the point of intersection, we substitue x = 1/2 inot either equation as,

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