Systems of Linear Equations Unit Test

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Question
By finding the x- and y-intercepts, determine if the following system of equations is consistent and dependent. Explain your answer.23x+43y=4

2x+4y=12

(1 point)
Responses

You cannot tell, because there are fractions in the first equation.
You cannot tell, because there are fractions in the first equation.

The system is consistent and dependent, because they have different x- and y-intercepts.
The system is consistent and dependent, because they have different x - and y -intercepts.

The system is consistent and dependent, because the equations have the same x- and y-intercepts.
The system is consistent and dependent, because the equations have the same x - and y -intercepts.

The system is not consistent and dependent, because the equations have the same x- and y-intercepts.
The system is not consistent and dependent, because the equations have the same x - and y -intercepts.
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1 answer

The correct response is: You cannot tell, because there are fractions in the first equation.

When determining consistency and dependence using intercepts, if there are fractions in the equations, it can be difficult to accurately determine the intercepts. Thus, in this case, you cannot determine if the system is consistent and dependent.