Bunuel wrote:
\(2x + y = 3\)
\(3y = 9 − 6x\)
How many solutions does the above system of equations have?
(A) None
(B) One
(C) Two
(D) Four
(E) An infinite number
A system of 2 linear equations will have 0, 1 or infinitely many solutions.
So, we can automatically eliminate answer choices C and D
Start solving the system using the elimination method.
Given:
2x + y = 3
3y = 9 − 6x
Rearrange the bottom equation to have the same format as the top equation:
2x + y = 36x + 3y = 9
Take the top equation and multiply
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