Solve {l}{x=-1}{y=4{(3x-1)}+2x}{z=9}{text{Solvefor}a,btext{where}}{a=y}{b=z}

$$\left. \begin{array} { l } { x = -1 }\\ { y = 4 {(3 x - 1)} + 2 x }\\ { z = 9 }\\ { \text{Solve for } a,b \text{ where} } \\ { a = y }\\ { b = z } \end{array} \right.$$

Solve for x, y, z, a, b

$$a=-18$$

$$b=9$$

Solution Steps

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

$$y=4\left(3\left(-1\right)-1\right)+2\left(-1\right)$$

Multiply 3 and -1 to get -3.

$$y=4\left(-3-1\right)+2\left(-1\right)$$

Subtract 1 from -3 to get -4.

$$y=4\left(-4\right)+2\left(-1\right)$$

Multiply 4 and -4 to get -16.

$$y=-16+2\left(-1\right)$$

Multiply 2 and -1 to get -2.

$$y=-16-2$$

Subtract 2 from -16 to get -18.

$$y=-18$$

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

$$a=-18$$

The system is now solved.

$$x=-1 y=-18 z=9 a=-18 b=9$$