Question

solve the system by elimination.
12x + 36y = -3
-12x - 36y = 0
no solution
(10, 1)
(-10, -1)
(10, -1)

Explanation:

Step1: Add the two equations

Add the equations \(12x + 36y = -3\) and \(-12x - 36y = 0\) together.
\[

$$\begin{align*} (12x + 36y) + (-12x - 36y) &= -3 + 0\\ 12x + 36y - 12x - 36y &= -3\\ 0 &= -3 \end{align*}$$

\]

Step2: Analyze the result

The result \(0 = -3\) is a contradiction, which means there are no values of \(x\) and \(y\) that satisfy both equations simultaneously.

Answer:

No solution