Question

Find the solution to the following set of equations: 3x + 10y = 14
4x + 5y =2
I need to solve this problem using elimination. Can you please help me solve this problem?

Answer 1

multiply second equation by '2' on both sides. what do you get?

Answer 2

8x + 10y = 4

Answer 3

yes exactly :)

Answer 4

Ok, but i though the x's needed to have the same number, like 12.

Answer 5

now subtract equation 1 from equation 2

Answer 6

o 10 y ok i see

Answer 7

yes exactly :)
i'm doing it to y instead of x

Answer 8

o ok. I can get that one then. What about this one. 2x + 3y = 0 and 5x - 4y = 23?

Answer 9

Would I do this one the way i tried to do the other one?

Answer 10

yes, you need to recognize with what number you need to multiply the two equations so that the 'x' or the y's match

Answer 11

in this case, multiply equation 1 by 5
and equation 2 by 2

Answer 12

ok so i'd multiply the first equation by 5 and the second equation by 2? Right?

Answer 13

o ok haha sorry

Answer 14

then i'd subract the equations from each other correct?

Answer 15

Because the x's are both positive.

Answer 16

yes, you are correct :)

Answer 17

ok

Answer 18

So I got y=2 and x=-3

Answer 19

yep thats right

Answer 20

Ok thank you. This makes much more sense to me.

Answer 21

sure, no prob :)