Solve s=4/2*t+v_{0}*t+50

$$s = \frac { 4 } { 2 } \cdot t + v _ { 0 } \cdot t + 50$$

Solve for t

$$\left\{\begin{matrix}t=-\frac{50-s}{v_{0}+2}\text{, }&v_{0}\neq -2\\t\in \mathrm{R}\text{, }&s=50\text{ and }v_{0}=-2\end{matrix}\right.$$

Steps for Solving Linear Equation

Divide 4 by 2 to get 2.

$$s=2t+v_{0}t+50$$

Swap sides so that all variable terms are on the left hand side.

$$2t+v_{0}t+50=s$$

Subtract 50 from both sides.

$$2t+v_{0}t=s-50$$

Combine all terms containing t.

$$\left(2+v_{0}\right)t=s-50$$

The equation is in standard form.

$$\left(v_{0}+2\right)t=s-50$$

Divide both sides by 2+v_{0}.

$$\frac{\left(v_{0}+2\right)t}{v_{0}+2}=\frac{s-50}{v_{0}+2}$$

Dividing by 2+v_{0} undoes the multiplication by 2+v_{0}.

$$t=\frac{s-50}{v_{0}+2}$$

Solve for s

$$s=tv_{0}+2t+50$$

Solution Steps

Divide 4 by 2 to get 2.

$$s=2t+v_{0}t+50$$