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To find the coordinates of a point that lies on 2 equations you must solve them simultaneously which varies in difficulty depending on the nature of the equations.

e.g.

y=x+1 and y=2x

2x=y=x+1

2x=x+1

x=1

This shows that the x coordinate is 1

y=x+1 therefore means

y=1+1=2

And the y coordinate is 2

The coordinates of the point of intersection is therefore (1, 2)

Harder equations i.e. non linear, require more complicated algebra to solve.

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