Question

What is the value of the x variable in the solution to the following system of equations?
2x + 3y = 1
3x - 4y = 10
Answer choices:
2

-1

1

-2

Thanks!

Answer 1

Well, you said you tried, so...my next question to you is, what are \(your\) answers?

Answer 2

The answers i came up with arent any of the choices .

Answer 3

For any of them? Lol right...
Anyways, what method are you using? Are you using elimination, substitution, or are you doing this using matrices; cramers rule?

Answer 4

Substitution

Answer 5

I'll help you with the first one, but you will have to do the others on your own. I am not going to do your quiz or homework for you.

Answer 6

I think for this, you might want to use elimination method to avoid use of fractions.
So, you have a system: \(\left\{\begin{matrix}
2x + 3y = 1 & & \\
3x-4y=10& &
\end{matrix}\right.\) \(\Rightarrow\) \(\left\{\begin{matrix}4
(2x + 3y = 1) & & \\
3 (3x-4y=10)& &
\end{matrix}\right.\) basically you're multiplying to eliminate one term, in this case, "y" so you can get "x" only.

Answer 7

okay

Answer 8

now, you get \(\Rightarrow\) \(\begin{matrix}
8x+12y=4 & & \\
9x-12y=30 & &
\end{matrix}\)

Answer 9

Notice that the "y" term cancels out, and you're left with: \(17x=34\)
solving for "x", your answer is \(\large 2\)

Answer 10

Ohh ok thank you .