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Introduction: Systems of Linear Equations - Part 2

3Recap: Linear systems and elimination by equating

To find out the age of Tina's parents, it is useful for you to recall the linear system and the elimination by equating coefficients.

What is a linear system?

A linear system of equations has often had two equations of the form y=mx+ty = mx +t, with variables xx and yy.

You got to know the solution of alinear system as the intersection point of these lines.

Solution via elimination by equating coefficients

The away how elimination by equating coefficients works is already hidden in its name. The keyword is equating. For this you have to proceed as follows:

  1. Solve each of the equations of the system of equations for the same variable.

  2. Set the equations equal.

  3. Solve the resulting equation for the remaining unknown.

  4. Plug this variable into one of the original equations.


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