Question

Describe the graph of 2x + y = 11 and 2x + y = 2. Determine the number of solutions.

Answer 1

`\mathrm{No\:Solution}`

Explanation:

By using comparing the left hand side of the two given equations we have:

`\begin{bmatrix}2x+y=11\\ 2x+y=2\end{bmatrix}\\\\\begin{bmatrix}11=2\end{bmatrix}\\\\11=2\:\mathrm{\:is\:false,\:therefore\:the\:system\:of\:equations\:has\:no\:solution}`

Best Regards!