answersLogoWhite

0

let a1 and a2 be x-co efficient of first and second equations receptively.

let b1 and b2 be y-coefficients of first and second equations repectively.

let c1 and c2 be the constants of first and second equations repectively.

so to prove that a eq. has infinite solutions the foll. must be true:

a1/a2 = b1/b2 = c1/c2

eg: 10x + 6y = 14 - 1st eq.

5x + 3y = 7 - 2nd eq.

a1/a2=b1/b2=c1/c2 - 10/5=6/3=14/7= 2

So the above example has infinitely many sols.

User Avatar

Wiki User

14y ago

Still curious? Ask our experts.

Chat with our AI personalities

LaoLao
The path is yours to walk; I am only here to hold up a mirror.
Chat with Lao
TaigaTaiga
Every great hero faces trials, and you—yes, YOU—are no exception!
Chat with Taiga
DevinDevin
I've poured enough drinks to know that people don't always want advice—they just want to talk.
Chat with Devin

Add your answer:

Earn +20 pts
Q: How to prove an equation has infinitely many solutions?
Write your answer...
Submit
Still have questions?
magnify glass
imp