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How do you know how many solutions a linear equation has?

Sagot :

Follow the steps to find solutions of linear equation.

What are solutions of linear equation?

A two-variable linear equation is one with the formula ax + by + c = 0, where a, b, c R, a, and b 0. By comparing the coefficients of the variables in the equations, we may determine how many solutions there are to a system of linear equations. The number of solutions can also be determined graphically.

Following points will teach you how to count the number of solutions to a system of two-variable equations.

  1. If (a1/a2)=(b1/b2), a singular solution will exist. The lines on the graph will cross each other. A consistent pair of linear equations is the name given to this kind of equation.
  2. There will be an endless number of solutions if (a1/a2) = (b1/b2) = (c1/c2). The lines will be parallel. Dependent pair of linear equations in two variables is the name given to this kind of equation.
  3. There won't be a solution if (a1/a2) = (b1/b2)≠ (c1/c2). The lines on the graph will be parallel. An inconsistent pair of linear equations is the name given to this kind of equation.

Learn more about solution of linear equation here:

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