kiersta9
Answered

At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Discover in-depth answers to your questions from a wide network of experts on our user-friendly Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

 please help asap 
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

Sagot :

The equtaion has only one solution because they cut each other only once and the are independent ..as both line are different. So it would be (d) consistent and independent
JeanaShupp

Answer:  D.   consistent and independent

Step-by-step explanation:

The given system is [tex]2y-3x=9\\4y+3x=12[/tex]

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

For y, [tex]\frac{2}{4}=\frac{1}{2}[/tex]

For x, [tex]\frac{-3}{3}=-1[/tex]

And [tex]\frac{1}{2}\neq-1[/tex],

⇒ 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.

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.