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I am in algebra 1 & I saw these two phrases. May you please tell me what each of these mean?

An equation such as 3x +2y = 5 is the equation of a straight line.

Suppose you have two such equations and you want to find a common solution.

If the other equation is 4x-2y = 9, you can find a common solution that satisfies both equations. One way is to draw both lines and see where they cross (only one place) or solve the two equations for x and y (2, -0.5). Only one solution.

If the other equation is 3x +2y = 7 there is no solution since the two lines are parallel.

Algebra

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