Solve {c}{y=kx+b}{x=7}{b=6}{b=y}

$$\left. \begin{array} { c } { y = k x + b } \\ { x = 7 } \\ { b = 6 } \\ { b = y } \end{array} \right.$$

Solve for y, k, x, b

$$x=7$$

$$y=6$$

$$k=0$$

$$b=6$$

Solution Steps

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

$$6=y$$

Swap sides so that all variable terms are on the left hand side.

$$y=6$$

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

$$6=k\times 7+6$$

Swap sides so that all variable terms are on the left hand side.

$$k\times 7+6=6$$

Subtract 6 from both sides.

$$k\times 7=6-6$$

Subtract 6 from 6 to get 0.

$$k\times 7=0$$

Divide both sides by 7. Zero divided by any non-zero number gives zero.

$$k=0$$

The system is now solved.

$$y=6 k=0 x=7 b=6$$