Solve {l}{5s+1=7+4}{t=0}{u=5s}{v=s}{text{Solvefor}w,x,ytext{where}}{w=t}{x=u}{y=v}

$$\left. \begin{array} { l } { 5 s + 1 = 7 + 4 }\\ { t = 0 }\\ { u = 5 s }\\ { v = s }\\ { \text{Solve for } w,x,y \text{ where} } \\ { w = t }\\ { x = u }\\ { y = v } \end{array} \right.$$

Solve for s, t, u, v, w, x, y

$$x=10$$

$$y=2$$

$$w=0$$

Solution Steps

Consider the first equation. Add 7 and 4 to get 11.

$$5s+1=11$$

Subtract 1 from both sides.

$$5s=11-1$$

Subtract 1 from 11 to get 10.

$$5s=10$$

Divide both sides by 5.

$$s=\frac{10}{5}$$

Divide 10 by 5 to get 2.

$$s=2$$

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

$$u=5\times 2$$

Multiply 5 and 2 to get 10.

$$u=10$$

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

$$v=2$$

Consider the equation (6). Insert the known values of variables into the equation.

$$x=10$$

Consider the equation (7). Insert the known values of variables into the equation.

$$y=2$$

The system is now solved.

$$s=2 t=0 u=10 v=2 w=0 x=10 y=2$$