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Where do lines y = x - 1 and y = -5x + 11 intersect?

Explanation

Two lines meet or intersect at a point when their (x, y) coordinates are equal. Simply set the equation of the two straight lines equal to each other.
y = x - 1
y = -5x + 11
Equating the two equations, solve for x:
x – 1 = -5x + 11
x + 5x = 11 + 1
6x = 12
x = 12/6 = 2
Substituting x=2 to either of the equations, solve for y:
y = x – 1
y = 2 – 1 = 1
The two lines intersect at (2, 1)

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