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solve a pair of linear equations in two variables.

Here we have two straight lines; first is ax+by+c=0 (red) and the second one is a_1 x+b_1 y+c_1=0 (green). Line ‘l’ (green) passes through two points A and B. Line ‘m’ (red) passes through the point C and is parallel to the line ‘l’. Observe how the positions of the lines change when we move the points A, B and C.