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• VC2M10AA03

  simplify combinations of linear expressions with rational coefficients and the solution of related equations

  Elaborations

  • simplifying sums and differences of linear expressions of the form $\frac{ax+b}{c}$ where
    $a$ and $b$ are integers, and $c$ is a non-zero integer, for example, $\frac{6x-11}{2}-\frac{7x}{4}+\frac{9-5x}{3}=\frac{-5x-30}{12}$
  • solving equations involving sums and differences of linear expressions with rational coefficients, for example, $\frac{-2x}{3}+\frac{4}{9}=\mathrm{ }\frac{11}{5}\left(7x-1\right)\mathrm{ }$$\Rightarrow -30x+20=693x-99\mathrm{ }$$\Rightarrow x=\frac{119}{723}\mathrm{ }$, and verifying the solution

  VC2M10AA03 | Mathematics | Mathematics Version 2.0 | Level 10A | Algebra