Solve {l}{L(-1)=3*(-1)/5-1/15=-3/5-1/15=}{=frac{-6-1}{15}=frac{7}{15}}{P(-1)=2*(-1)=-frac{2}{2}}

$$\left. \begin{array} { l } { L ( - 1 ) = \frac { 3 \cdot ( - 1 ) } { 5 } - \frac { 1 } { 15 } = \frac { - 3 } { 5 } - \frac { 1 } { 15 } = } \\ { = \frac { - 6 - 1 } { 15 } = \frac { 7 } { 15 } } \\ { P ( - 1 ) = 2 \cdot ( - 1 ) = - \frac { 2 } { 2 } } \end{array} \right.$$

Solve for L

$$L=\frac{2}{3}\approx 0.666666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 5,15.

$$15L\left(-1\right)=3\times 3\left(-1\right)-1$$

Multiply 15 and -1 to get -15.

$$-15L=3\times 3\left(-1\right)-1$$

Multiply 3 and 3 to get 9.

$$-15L=9\left(-1\right)-1$$

Multiply 9 and -1 to get -9.

$$-15L=-9-1$$

Subtract 1 from -9 to get -10.

$$-15L=-10$$

Divide both sides by -15.

$$L=\frac{-10}{-15}$$

Reduce the fraction \frac{-10}{-15} to lowest terms by extracting and canceling out -5.

$$L=\frac{2}{3}$$