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for the graph shown, select the statement that best represents the given system of equations.
algebra unit 8 lesson 1 assessment question 4
2y – 3x = 9
4y + 3x = 12
a.
coincident
b.
not enough information
c.
inconsistent
d.
consistent and independent

 D.   consistent and independent

Step-by-step explanation:

The given system is

When we compare the coefficients of the corresponding variables of both the equations we get,

For y,

For x,

And ,

⇒ The system in independent.

Therefore the system has one unique solution.

Since, if a system has a unique solution then the system is consistent .

Therefore, the system is consistent and independent.

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step-by-step explanation: