3x+6y=8 and x=-2y+6 find the point of intersection

pls help me solve 3x+6y=8 and x=-2y+6 find the point of intersection
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1 Answer

Substitute for x in the first linear equation: -6y+18+6y=8; 18=8 is false so the lines cannot intersect. The lines are in fact parallel because they have the same negative slope (-1/2). 3x+6y=8 can be written: x=-2y+(8/3).

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