Answer: Which is impossible, indicating that the system is inconsistent. Therefore, based on the analysis performed with the elimination method, the system has no solution.
Explanation:
2x + 9y = 20
-4x - 18y = -15
Multiplying the first equation by 2 we get:
4x + 18y = 40
-4x - 18y = -15
Now, once we have amplified the original equations, the sum of the first equation and the second equation leads to:
4x + 18y +(-4x - 18y) = 40 - 15
⇒ 0=25
Which is impossible, indicating that the system is inconsistent. Therefore, based on the analysis performed with the elimination method, the system has no solution.