Question

I need help solving by the elimination method
3x+4y=5
6x+8y=10

Answer 1

multiply the first equation by -2 and add it to the second, what do you get?

Answer 2

-6x+-8y=-10

Answer 3

?

Answer 4

yes, now add it to the other equation, what do you get?

Answer 5

0

Answer 6

So there is no solution

Answer 7

infinitely many solutions

Answer 8

both sides please

Answer 9

So the answer would be there are infinitely many solutions?

Answer 10

Yes, exactly ALL REALS
This makes for a bad example of the elimination method, but it is the correct answer in this case.

Answer 11

thank you

Answer 12

because
0=0
is always true

Answer 13

you should write down the solution

let x=t be any real number then

\[y=\frac{5-3t}{4}\]

Answer 14

More specifically, yes; but they don't usually ask that of you in basic algebra, which I'm guessing this is. Hence I neglected it.