How many solutions can a linear equation have? (8th grade math/algebra 1)

We look at some special situations with linear equations and find that sometimes, an equation can end up (on the last line) to be 9 = 9. This is a case where the equation has an infinite number of solutions.

Another example in the video will end up with the equation 5 = 6. This is a false equation and the original equation has no solutions.

In a nutshell, there are three possible cases when it comes to a linear equation: it can have no solutions, one unique solution, or an infinite number of solutions.

Then you, the viewer, get to practice too... by modifying a given equation so it has an infinite number of solutions.

See also

Age and coin word problems — video lesson

Math Mammoth Grade 8 curriculum

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