How many solutions does the system formed by x - y = 3 and ay + 3a = 0 have for a non zero number a? Explain and show how you get the answer please

Question

30-01-2015
Mathematics

Answered

Get expert insights and reliable answers to your questions on IDNLearn.com. Our experts provide timely, comprehensive responses to ensure you have the information you need.

How many solutions does the system formed by x - y = 3 and ay + 3a = 0 have for a non zero number a? Explain and show how you get the answer please

Sagot :

Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. Your questions are important to us at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.

A Municipal Securities Dealer Has Just Made A Contribution To The Mayor's Reelection Campaign. How Long Must The Firm Wait Before It Can Enter Competitive Bids

An Appreciation As A Connoisseur Of The Good Food.TOPIC: Signature CuisinesFamous Cuisines Of The State. Create A Collage Using Beautiful,colored Pictures.Suppo

Write The Name And Symbol Of The Ion Formedwhen A Sulfur Atom Gains Two Electrons. A.an Aluminum Atom Loses Three Electrons. B.a Nitrogen Atom Gains Three Elect

In The Two-hybrid Screening Technique, What Type Of Protein Is Separated Into Two Different Domains To Determine If Two Other Proteins Attached To These Domains

A(n) _____ Is A Request For The Database Management Software To Search The Database For Data That Match Criteria Specified By The User.

Beads Are Dropped To Create A Conical Pile Such That The Ratio Of Its Radius To The Height Of The Pile Is Constant At 2:3 And The Volume Is Increasing At A Rate

(10 POINTS AND BRAINLYIST) Choose Two People Who Were Important To The End Of The Revolutionary War. Explain Why Each Person Was Important.

During Transition The Cervix Dilates To 10 Cm And The Baby Moves Into The Birth Canal. True Or False?

1. 100gm Of A 55% (M/M) Nitric Acid Solution Is To Be Diluted To 20% (M/M) Nitric Acid. How Many Liters Of Water Should Be Added To The Starting Solution?

Claudius: He Made Confession Of You, And Gave You Such A Masterly Report For Art And Exercise In Your Defence, And For Your Rapier Most Especially, That He Crie

Naǫidn Naǫidn · Answer 1 · 2015-01-30T09:21:58-05:00

Naǫidn Naǫidn

30-01-2015

Solve both equations for y:
[tex]x-y=3 \ \ \ |-x \\ -y=-x+3 \ \ \ |\times (-1) \\ y=x-3 \\ \\ ay+3a=0 \ \ \ |-3a \\ ay=-3a \ \ \ |\div a, a \not= 0 \\ y=-3[/tex]

Set the expressions equal to each other:
[tex]y=y \\ x-3=-3 \ \ \ |+3 \\ x=0 \\ \\ (x,y)=(0,-3)[/tex]

So, for every nonzero number a the system of equations has one solution.

Answer Link

Sagot :

Other Questions