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In Mathematics / High School | 2014-10-25

Classify the system and determine the number of solutions. Check all that apply.

\[
\begin{align*}
7x + y &= 13 \\
28x + 4y &= -12 \\
\end{align*}
\]

A) Inconsistent
B) Consistent
C) Infinitely many solutions
D) No solution

Asked by George17

Answer (2)

\left\{\begin{array}{ccc}7x+y=13&|multiply\ both\ sides\ by\ (-4)\\28x+4y=-12\end{array}\right\\+\left\{\begin{array}{ccc}-28x-4y=-52\\28x+4y=-12\end{array}\right\ \ \ |add\ the\ sides\ of\ the\ equations\\------------\\.\ \ \ \ \ \ \ \ 0=-64-FALSE\\\\Answer:A)\ inconsistent\ and\ D)\ no\ solution.

Answered by Anonymous | 2024-06-10

The system of equations is inconsistent because it results in a false statement when manipulated, meaning there are no points of intersection and no solutions exist. The correct choices are A) Inconsistent and D) No solution.
;

Answered by Anonymous | 2024-12-26

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