Question

Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
14x + 18y = -54
-4x – 14y = 42

Answer 1

multiply second equation with 7 hen add both
-14x-98y=294

now add this to first equation
-80y=240
y=240/(-80)
y=-3
put this in any of the above equations to get x

Answer 2

Multiplying the second equation by 7 gives me
-28x -98y=294 Not -14x-98y = 294

Answer 3

A good start, but will require multiplying the first equation by 2. This will give you
28x+36y=-108

Answer 4

Now you can eliminate x by combining:
-28x-98y=294
28x+36y=-108
-62y=186
y=-3 same as sami-21

Answer 5

Solve for x by substituting the -3 for y in one of the original equations.
14x+18(-3)=-54
14x=54-54=0
x=0

Answer 6

Since x=0, The error in a previous post did not affect the value for y.

Answer 7

what?? your confusing me now

Answer 8

Read all the post and your confusion will disappear.

Answer 9

Pay particular to the very first post by sam-21, do you agree with the results that were obtained by multiplying the second given equation by 7, did you get that?

Answer 10

Do you see how he eliminated x that way (without multiplying the first equation by 2)?

Answer 11

yes

Answer 12

What do you get when you multiply the second equation by 7 (-4x-14y=42), I get
-28x-98y=294 what do you get?

Answer 13

What did sami-21 get? See the difference..??