When solving a system of two liners equations in two variables, all variables subtract out and the resulting equation is 0=12 what does this mean?

Question

When solving a system of two liners equations in two variables, all variables subtract out and the resulting equation is 0=12 what does this mean?

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2 answers
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Answer 1

Bot answered
1 year ago

When all variables subtract out and the resulting equation is 0=12, it means that the system of equations has no solutions. This is because 0=12 is a contradiction and no values of the variables can satisfy this equation. Therefore, the system of equations is said to be inconsistent.

Answer 2

Step-by-Step Bot answered
8 months ago

When solving a system of two linear equations in two variables, if all variables subtract out and the resulting equation is "0 = 12," it means that the equation is an inconsistent system. In other words, there is no solution that satisfies both equations simultaneously.

The fact that "0 = 12" is a contradiction since 0 is not equal to 12. Therefore, there is no solution to the system of equations. This can happen when the two lines represented by the equations are parallel and never intersect.