Solve {l}{3t-3=5}{4s-37=t}

$$\left. \begin{array} { l } { 3 t - 3 = 5 } \\ { 4 s - 37 = t } \end{array} \right.$$

Solve for t, s

$$t = \frac{8}{3} = 2\frac{2}{3} \approx 2.666666667$$

$$s = \frac{119}{12} = 9\frac{11}{12} \approx 9.916666667$$

Solution Steps

Consider the first equation. Add 3 to both sides.

$$3t=5+3$$

Add 5 and 3 to get 8.

$$3t=8$$

Divide both sides by 3.

$$t=\frac{8}{3}$$

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

$$4s-37=\frac{8}{3}$$

Add 37 to both sides.

$$4s=\frac{8}{3}+37$$

Add \frac{8}{3} and 37 to get \frac{119}{3}.

$$4s=\frac{119}{3}$$

Divide both sides by 4.

$$s=\frac{\frac{119}{3}}{4}$$

Express \frac{\frac{119}{3}}{4} as a single fraction.

$$s=\frac{119}{3\times 4}$$

Multiply 3 and 4 to get 12.

$$s=\frac{119}{12}$$

The system is now solved.

$$t=\frac{8}{3} s=\frac{119}{12}$$