Practice problem
Convert the system of equations into its equivalent augmented matrix. {15x+5y+8z=137x−6y−3=124x+8y+12z=56\begin{cases}15x+5y+8z=13\\7x-6y-3=12\\4x+8y+12z=56\end{cases}⎩⎨⎧15x+5y+8z=137x−6y−3=124x+8y+12z=56
[1574135−6815801256]\left[\begin{array}{ccc|c}15&7&4&13\\5&-6&8&15\\8&0&12&56\end{array}\right]15587−604812131556
[1558137−609481256]\left[\begin{array}{ccc|c}15&5&8&13\\7&-6&0&9\\4&8&12&56\end{array}\right]15745−68801213956
[1558137−6015481256]\left[\begin{array}{ccc|c}15&5&8&13\\7&-6&0&15\\4&8&12&56\end{array}\right]15745−688012131556
[1558137−6−312481256]\left[\begin{array}{ccc|c}15&5&8&13\\7&-6&-3&12\\4&8&12&56\end{array}\right]15745−688−312131256
Type a concept, like “slope” or “photosynthesis”.