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Algebra / Linear Equations Two Variables

Linear Equations in Two Variables

A linear equation in two variables can be written in forms such as $ax+by=c$ or $y=mx+b$. A solution is an ordered pair $(x,y)$ that makes the equation true.

Least you need to know

  • An ordered pair is a solution if substituting its coordinates makes the equation true.
  • The $x$-intercept occurs when $y=0$; the $y$-intercept occurs when $x=0$.

Key notation

  • $(x,y)$ — An ordered pair whose first coordinate is $x$ and second coordinate is $y$

Worked example

  • Substitute the known coordinate into the equation.
  • Solve for the missing coordinate.

Common mistakes

  • In $(x,y)$, the first coordinate is $x$.
  • For the $x$-intercept, set $y=0$.

How to recognize it

  • The equation contains two variables.
  • The problem may ask for an intercept or missing coordinate.

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បន្តតាមប្រធានបទនេះជាមួយ Linear Equations in Two Variables។

Linear Equations in Two Variables

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