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In: Advanced Math

Hello. Linear Algebra class. In a linear system of equations, the solution is one of the...

Hello.

Linear Algebra class.

In a linear system of equations, the solution is one of the possibilities.

1)there is one unique solution(only one) which means the line of the equation interest only one time at a point.

2)there are many solutions (infinity) if the lines of equations lie on one another.

3)there is no solution if the line of the equation are parallel.

how to test for each possibility WITHOUT graphing the system of equations using the coefficients in each equation as well as the signs?

Thank you

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