Solve {l}{-3u+1=4}{v=4u-5}{text{Solvefor}wtext{where}}{w=v}

$$\left. \begin{array} { l } { -3 u + 1 = 4 }\\ { v = 4 u - 5 }\\ { \text{Solve for } w \text{ where} } \\ { w = v } \end{array} \right.$$

Solve for u, v, w

$$w=-9$$

Solution Steps

Consider the first equation. Subtract 1 from both sides.

$$-3u=4-1$$

Subtract 1 from 4 to get 3.

$$-3u=3$$

Divide both sides by -3.

$$u=\frac{3}{-3}$$

Divide 3 by -3 to get -1.

$$u=-1$$

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

$$v=4\left(-1\right)-5$$

Multiply 4 and -1 to get -4.

$$v=-4-5$$

Subtract 5 from -4 to get -9.

$$v=-9$$

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

$$w=-9$$

The system is now solved.

$$u=-1 v=-9 w=-9$$