To find the point of intersection of the two lines represented by the equations y = 3x - 5 and y = -3x + 7, we can set the two equations equal to each other:
3x - 5 = -3x + 7
Now, let's solve for x:
3x + 3x = 7 + 5
6x = 12
x = 12/6
x = 2
Substitute the value of x back into either of the original equations to find the y-coordinate. Let's use the first equation:
y = 3(2) - 5
y = 6 - 5
y = 1
Therefore, the point of intersection of the two lines is (2, 1).
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