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How do you know if a system of linear equations has no solution?

Sagot :

Condition of system of equations [tex]a_{1}[/tex]x+[tex]b_{1}[/tex]y+[tex]c_{1}[/tex]=0 and [tex]a_{2}[/tex]x+[tex]b_{2}[/tex]y+[tex]c_{2}[/tex]=0

have no solution. If ([tex]\frac{a_{1} }{a_{2} }[/tex])=([tex]\frac{b_{1} }{b_{2} }[/tex])≠([tex]\frac{c_{1} }{c_{2} }[/tex])

What is solution of equation?

The junction of two lines at the spots where a linear equation has a solution are known as the points of intersection.

The collection of all feasible values for the variables that satisfy the given linear equation is, in other words, the solution set of the system of linear equations.

Types of Solutions for Linear Equations

There are 3 possible types of solutions to the set of linear equations. They are:

  1. Unique Solution
  2. No Solution
  3. Infinitely Many Solutions

No Solution: The system of linear equations has no solution if the graphs of the linear equations are parallel. There is no point in this situation when no lines cross one another.

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