Question

confused on this one because if i multiply the first equation by 2, it cancels out both the x and y components.

Solve by the elimination method.

2x + 3y =1
4x + 6y = 2

Answer 1

that is okay but you need to multiply first equation by -2

Answer 2

sorry about that...you will get 0=0 which is always true so infinitely many or all real numbers as solution

Answer 3

ok, that is the first time i saw the answer come out like that, thanks!

Answer 4

you're welcome....good job on elimination...you may also get something like -2=0 which is never true so NO SOLUTION

Answer 5

so which would it be, infinitely many solutions or no solution?

Answer 6

no solution is a different type-when left side doesn't equal right side INFINETLY MANY/ALL real numbers mean same things

Answer 7

You have what is known as an identity.

Answer 8

exactly radar

Answer 9

I hope the course that ms elegant prepared for such an event lol

Answer 10

can you help me with polynomial question Find polynomial P(n)=Sn for 1, 2, 3, ...10 and explain method

Answer 11

so the answer i get when multiplying by -2 is 0=-2. so I'm guessing that the answer is there is no solution.

but how do i perform a check to make sure that my answer is right?

Answer 12

It is unsolvable,it is an identity, it is the same equation just one is double the other you need two distinct equations for the two unknowns.

Answer 13

btm2011, I wouldn't be much help on that polymonial series!

Answer 14

ok, so there is no solution, thx!

Answer 15

Ms elegant do you understand even though they provided you with two equations, they are actually the same, one does not provide any new information for you.

Answer 16

for that problem the answer is all real numbers, infinitely many (identity) because 0=0
-2(2x+3y=1)____-4y-6y=-2

Answer 17

-4y-6y=-2 + 4x+6y=2

Answer 18

There is a solution!

Answer 19

ok i think i got it, there is a solution, but it is just an infinite amount of solutions that can be the answer, right?

Answer 20

YES...bc every number equals itself

Answer 21

yes, x=0 and y=1/3 could be a solution, but there is no specific solution, I could put down another solution like x=-2, y=1

Answer 22

ok, i get it. and that's the check, that several answers fit this equation - so there are infinite solutions, not just one

Answer 23

That is what it seems to be.

Answer 24

ok great thx! i appreciate the explanation so that i could understand what i was doing

Answer 25

GREAT!