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Earn +20 ptsQ: Are equations and equivalent statements the same?
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What are equivalant equations?
Equivalent equations are equations that have the same solution set.
What equations that same solution set over a given domain?
Equivalent Equations
What makes a system of equations dependent?
If one (or more) of the equations can be expressed as a linear combination of the others. This is equivalent to the statements the matrix of coefficients does not have an inverse (or is singular), or the determinant of the matrix of coefficients is zero.
How could you show that two equations aren't equivalent?
One way would be to solve the two equations. If they have exactly the same solution set, they are equivalent. Otherwise they are not.
What does equivalent equation mean in math terms?
Equations that have the same solution.
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