Solve {c}{x=L}{36*5+0.75x=6}

$$\left. \begin{array} { c } { x = L } \\ { 36 \times 5 + 0.75 x = 6 } \end{array} \right.$$

Solve for x, L

$$x=-232$$

$$L=-232$$

Solution Steps

Consider the second equation. Multiply 36 and 5 to get 180.

$$180+0.75x=6$$

Subtract 180 from both sides.

$$0.75x=6-180$$

Subtract 180 from 6 to get -174.

$$0.75x=-174$$

Divide both sides by 0.75.

$$x=\frac{-174}{0.75}$$

Expand \frac{-174}{0.75} by multiplying both numerator and the denominator by 100.

$$x=\frac{-17400}{75}$$

Divide -17400 by 75 to get -232.

$$x=-232$$

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

$$-232=L$$

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

$$L=-232$$

The system is now solved.

$$x=-232 L=-232$$