Math, asked by sparsh4842, 8 months ago

the solution of a linear equation in two variables is​

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Answered by ammukavitha620
8

Answer:

A solution of a linear equation in two variables ax+by = r is a specific point in R2 such that when when the x-coordinate of the point is multiplied by a, and the y-coordinate of the point is multiplied by b, and those two numbers are added together, the answer equals r.

Answered by AadilPradhan
2

The solution of a linear equation in two variables is​ ax+by = c is a point on the graph where when the x-coordinate is multiplied by a and the y-coordinate is multiplied by b, the total of the two values equals c.

  • In general, there are infinitely many solutions to a linear equation in two variables.
  • A system of equations in two variables having a unique solution, no solutions, or infinitely many solutions is known as a linear equation in two variables. There may be as many as 'n' variables in a linear system of equations.
  • A two-variable linear equation can take several distinct forms, including standard form, intercept form, and point-slope form.
  • In two variables, there are three sorts of systems of linear equations and three types of solutions.
  •   There is just one single solution pair ( x, y ) in an independent system. The sole answer is the amalgamation of two lines.
  •   There isn't much that can be done about it, an inconsistency in a system. It's important to note that the two lines are parallel and will never cross.
  • There is an endless number of solutions in a reliant system. The lines run parallel. Because they're along the same vein, any coordinate pair along it is a solution to both equations.

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