How many solutions does a linear equation have in two variables?

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07-12-2022
Mathematics

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How many solutions does a linear equation have in two variables?

Sagot :

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Mariya251 Mariya251 · Answer 1 · 2022-12-12T10:52:09-05:00

There can be infinitely many or no or unique solution of a linear equation in two variables.

What is linear equation in two variables?

If an equation is written in the form ax + by + c=0, where a, b, and c are real integers and the coefficients of x and y, i.e., a and b, respectively, are not equal to zero, then it is said to be a linear equation in two variables.

Possibilities of number of solution of linear equation in two variables are:

Unique Solution: If and only if the specified linear equations in two variables cross at a single point, the solution will be distinct for both equations. The slope of the line created by the two supplied linear equations, respectively, must not be equal in order to obtain the unique answer.

No solution: The two linear equations won't have any solutions if their slope values are equivalent.

Infinite Solutions: If system of equation have same slope and y- intercept than they are having infinite solutions.

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What is linear equation in two variables?

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