Solve {l}{6m-6n=-1}{4m+4m=-1}

$$\left. \begin{array} { l } { 6 m - 6 n = - 1 } \\ { 4 m + 4 m = - 1 } \end{array} \right.$$

Solve for m, n

$$m=-\frac{1}{8}=-0.125$$

$$n=\frac{1}{24}\approx 0.041666667$$

Solution Steps

Consider the second equation. Combine 4m and 4m to get 8m.

$$8m=-1$$

Divide both sides by 8.

$$m=-\frac{1}{8}$$

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

$$6\left(-\frac{1}{8}\right)-6n=-1$$

Multiply 6 and -\frac{1}{8} to get -\frac{3}{4}.

$$-\frac{3}{4}-6n=-1$$

Add \frac{3}{4} to both sides.

$$-6n=-1+\frac{3}{4}$$

Add -1 and \frac{3}{4} to get -\frac{1}{4}.

$$-6n=-\frac{1}{4}$$

Divide both sides by -6.

$$n=\frac{-\frac{1}{4}}{-6}$$

Express \frac{-\frac{1}{4}}{-6} as a single fraction.

$$n=\frac{-1}{4\left(-6\right)}$$

Multiply 4 and -6 to get -24.

$$n=\frac{-1}{-24}$$

Fraction \frac{-1}{-24} can be simplified to \frac{1}{24} by removing the negative sign from both the numerator and the denominator.

$$n=\frac{1}{24}$$

The system is now solved.

$$m=-\frac{1}{8} n=\frac{1}{24}$$