< 8.EE.C.7a >

Solve linear equations in one variable

Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers).

breakdown

To solve a linear equation in one variable, simplify the equation. To do this, you may have to use the Distributive Property and combine like terms. Then isolate the variable on one side of the equation and solve for the variable. The resulting equation will tell you whether there is one solution (x = a), no solutions (a=b), or infinitely many solutions (a=a).

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