A systems to a system of straight equations is the location where the 2 lines, if you graph them, cross.

You are watching: How many solutions do parallel lines have

Parallel lines perform not ever before cross. So there"s zero solutions.

However!! There"s a tiny, tiny possibility this can be a trick question. Since often, the equation of two lines the look parallel room actually the very same line, in which instance the system will develop an infinite number of solutions.

The method to be certain is simply to pick an x value completely at random, put it into both equations, and see if the answers room equal. If it"s really two parallel lines, lock won"t be. If they"re privately the same line and the totality thing is a trap, climate they will, together will any type of random number girlfriend come up v to placed in for x.

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