Question

which linear system of equations does this matrix represent
{ -3 5 | 15}
{ 2 5 | -10}

a. {-3x=2; 5x=3; 15x=-10
b. {-3y=2;5y=3;15y=-10
c. {-3x+5y=15; 2x+3y=-10
d. {-3x+5y=-10; 2x+3y=15

Answer 1

$.\ \ \ x\ \ \ \ y\\\left[\begin{array}{ccc}-3&5\\2&5\end{array}\right\left|\begin{array}{ccc}15\\-10\end{array}\right]\\\\\left\{\begin{array}{ccc}-3x+5y=15\\2x+5y=-10\end{array}\right \to\boxed{C.}$