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Please help me with this question I don’t get it .

Please help me with this question I don’t get it .-example-1
User Furykid
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1 Answer

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ANSWER and EXPLANATION

We want to fix the correct statement to the different types of solutions to a system of linear equations.

When the solution to the system of equations has the same value on both sides of the equation, it implies that:


0=0

In other words, many values of the variable will be solutions to the system of equations.

So, the system has infinitely many solutions.

When the solution to the system of equations has a variable equal to a value, i.e.:


x=6

it implies that the system has only one solution.

When the solution to the system of equations has two different values on either side of the equation, i.e.:


0=6

it implies that there are no values of the variable that can solve the system of equations.

Hence, the system has no solution.

User VSO
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