1. Explain independent, inconsistent, and dependentequations. Use examples as pa

Question

1. Explain independent, inconsistent, and dependentequations. Use examples as part of your explanations. 2. When using the addition method for solving a system ofequations, when would it be necessary to multiply the equation(s)by a number, and how do you determine what number to use? 1. Explain independent, inconsistent, and dependentequations. Use examples as part of your explanations. 2. When using the addition method for solving a system ofequations, when would it be necessary to multiply the equation(s)by a number, and how do you determine what number to use?

Explanation / Answer

1 independent systems have one and only one solution    dependent systems are equations which aremultiples of each other in other words it is the same line. such as x+y=2 and 2x+2y=4......the second equation is just thefirst equation multiplied by 2 inconsistent systems have NO solutions 2) when using addtion system if when adding one equation tothe other eliminates one of the variables then nomultiplication of equations need occur. however if this isnot the case then either one or both equations will needmanipulation (multiplied by some factor) in order to get the systemto a point where when the equations are added together one of thevariables is eliminated

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