Question

Solve the system using the elimination method. - Which one should I do first

3x-4y+z=-5
6x-4y+z=1
x+y+z=6

Answer 1

first equation and second equation

Explanation:

it is more easier because both of them have the same y

Answer 2

Use equation (1) and equation(2) and eliminate 4y+z

Explanation:

3x-4y+z=-5 ...(1)

6x-4y+z=1 ...(2)

x+y+z=6 ...(3)

First, you find the equation that you can use the elimination method on;

there are multiples of them.

However, I would use equation (1) and equation(2) and eliminate 4y+z :

3x-4y+z=-5

- 6x-4y+z=1

-3x=-6

x=2

As you can see, both the terms with y and z are eliminated in one step, exposing the variable x.

From here is just my advice:

There are multiple ways for you to answer this question. In math, the process may sometimes not matter if the answer was correct. Nevertheless, you should try finding one way that fits you or makes it easier to solve. I personally think that how I have been trying this helped me later when math got more complicated. (Also, it was fun for me to find another way that I was not taught of)

GOOD LUCK!! and I HOPE THIS HELPS YOU!!!!