Question

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

Answer 1

Answer:

$\mathrm{No\:Solution}$

Step-by-step explanation:

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

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

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