Solve {l}{-12S-5t=-6}{-t-5=-4}

$$\left\{ \begin{array} { l } { - 12 S - 5 t = - 6 } \\ { - t - 5 = - 4 } \end{array} \right.$$

Solve for S, t

$$t=-1$$

$$S=\frac{11}{12}\approx 0.916666667$$

Solution Steps

Consider the second equation. Add 5 to both sides.

$$-t=-4+5$$

Add -4 and 5 to get 1.

$$-t=1$$

Divide both sides by -1.

$$t=-1$$

Consider the first equation. Insert the known values of variables into the equation.

$$-12S-5\left(-1\right)=-6$$

Multiply -5 and -1 to get 5.

$$-12S+5=-6$$

Subtract 5 from both sides.

$$-12S=-6-5$$

Subtract 5 from -6 to get -11.

$$-12S=-11$$

Divide both sides by -12.

$$S=\frac{-11}{-12}$$

Fraction \frac{-11}{-12} can be simplified to \frac{11}{12} by removing the negative sign from both the numerator and the denominator.

$$S=\frac{11}{12}$$

The system is now solved.

$$S=\frac{11}{12} t=-1$$