Isolating A Variable | Brilliant Math & Science Wiki

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Isolating a variable means rearranging an algebraic equation so that a different variable is on its own. The goal is to choose a sequence of operations that will leave the variable of interest on one side and put all other terms on the other side of the equal sign. For example, making \(x\) the subject of the formula \(y = x + 5\) gives \(x = y - 5.\) This is a critical technique for solving algebraic equations.

\[\frac{5}{6}\] \[\frac{6}{5}\] \[6\] \[11\] Reveal the answer

Solve the following equation for \(x\):

\[3x + 1 = -2x +7.\]

The correct answer is: \[\frac{6}{5}\]

Tag » How To Isolate A Variable