Solve {l}{7k+k=3}{-5k+b=-3}

$$\left\{ \begin{array} { l } { 7 k + k = 3 } \\ { - 5 k + b = - 3 } \end{array} \right.$$

Solve for k, b

$$k=\frac{3}{8}=0.375$$

$$b = -\frac{9}{8} = -1\frac{1}{8} = -1.125$$

Solution Steps

Consider the first equation. Combine 7k and k to get 8k.

$$8k=3$$

Divide both sides by 8.

$$k=\frac{3}{8}$$

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

$$-5\times \frac{3}{8}+b=-3$$

Multiply -5 and \frac{3}{8} to get -\frac{15}{8}.

$$-\frac{15}{8}+b=-3$$

Add \frac{15}{8} to both sides.

$$b=-3+\frac{15}{8}$$

Add -3 and \frac{15}{8} to get -\frac{9}{8}.

$$b=-\frac{9}{8}$$

The system is now solved.

$$k=\frac{3}{8} b=-\frac{9}{8}$$