Solve {l}{x=3x+2}{B=4-x}{A=B}

$$\left. \begin{array} { l } { x = 3 x + 2 } \\ { B = 4 - x } \\ { A = B } \end{array} \right.$$

Solve for x, B, A

$$x=-1$$

$$B=5$$

$$A=5$$

Solution Steps

Consider the first equation. Subtract 3x from both sides.

$$x-3x=2$$

Combine x and -3x to get -2x.

$$-2x=2$$

Divide both sides by -2.

$$x=\frac{2}{-2}$$

Divide 2 by -2 to get -1.

$$x=-1$$

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

$$B=4-\left(-1\right)$$

Multiply -1 and -1 to get 1.

$$B=4+1$$

Add 4 and 1 to get 5.

$$B=5$$

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

$$A=5$$

The system is now solved.

$$x=-1 B=5 A=5$$