cykitamrsgrant
Answered

Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Get immediate and reliable answers to your questions from a community of experienced professionals on our platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

what type of system is the following set of equations?
{-3x + y = -2
y - 4 = -6x

a. consistent, independent
b. consistent, dependent
c. inconsistent
d. independent

Sagot :

naǫ
[tex]-3x+y=-2 \\ y-4=-6x \ \ \ |\times (-1) \\ \\ -3x+y=-2 \\ \underline{-y+4=6x} \\ -3x+y-y+4=6x-2 \\ -3x+4=6x-2 \\ -3x-6x=-2-4 \\ -9x=-6 \\ x=\frac{-6}{-9} \\ x=\frac{2}{3} \\ \\ y-4=-6 \times \frac{2}{3} \\ y-4=-4 \\ y=-4+4 \\ y=0 \\ \\ (x,y)=(\frac{2}{3},0)[/tex]

The system has one solution so it's A. consistent and independent.
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.