Question

What is the solution to the following system?

A. Infently many solutions
B. no solutions
C. (3, 8)
D. (-3, -8)

Answer 1

`\left\{\begin{array}{ccc}-2x-y=1&|\cdot(-2)\\-4x-2y=-1\end{array}\right\\\underline{+\left\{\begin{array}{ccc}4x+2y=-2\\-4x-2y=-1\end{array}\right}\ \ \ |\text{add both sides}\\.\ \ \ \ \ 0=-3\ \ \ FALSE\\\\Answer:\ B.\ no\ solutions`