Solve {l}{7x+5=3x-11}{y=x}{z=y}{a=z}{text{Solvefor}btext{where}}{b=a}

$$\left. \begin{array} { l } { 7 x + 5 = 3 x - 11 }\\ { y = x }\\ { z = y }\\ { a = z }\\ { \text{Solve for } b \text{ where} } \\ { b = a } \end{array} \right.$$

Solve for x, y, z, a, b

$$b=-4$$

Solution Steps

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

$$7x+5-3x=-11$$

Combine 7x and -3x to get 4x.

$$4x+5=-11$$

Subtract 5 from both sides.

$$4x=-11-5$$

Subtract 5 from -11 to get -16.

$$4x=-16$$

Divide both sides by 4.

$$x=\frac{-16}{4}$$

Divide -16 by 4 to get -4.

$$x=-4$$

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

$$y=-4$$

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

$$z=-4$$

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

$$a=-4$$

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

$$b=-4$$

The system is now solved.

$$x=-4 y=-4 z=-4 a=-4 b=-4$$