Solve {l}{14.3*250(385-8/2)x=230}{14.3*250x=360A}

$$\left. \begin{array} { l } { 14.3 \times 250 ( 385 - \frac { 8 } { 2 } ) x = 230 } \\ { 14.3 \times 250 x = 360 A } \end{array} \right.$$

Solve for x, A

$$x=\frac{46}{272415}\approx 0.00016886$$

$$A=\frac{23}{13716}\approx 0.001676874$$

Solution Steps

Consider the first equation. Multiply 14.3 and 250 to get 3575.

$$3575\left(385-\frac{8}{2}\right)x=230$$

Divide 8 by 2 to get 4.

$$3575\left(385-4\right)x=230$$

Subtract 4 from 385 to get 381.

$$3575\times 381x=230$$

Multiply 3575 and 381 to get 1362075.

$$1362075x=230$$

Divide both sides by 1362075.

$$x=\frac{230}{1362075}$$

Reduce the fraction \frac{230}{1362075} to lowest terms by extracting and canceling out 5.

$$x=\frac{46}{272415}$$

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

$$14.3\times 250\times \frac{46}{272415}=360A$$

Multiply 14.3 and 250 to get 3575.

$$3575\times \frac{46}{272415}=360A$$

Multiply 3575 and \frac{46}{272415} to get \frac{230}{381}.

$$\frac{230}{381}=360A$$

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

$$360A=\frac{230}{381}$$

Divide both sides by 360.

$$A=\frac{\frac{230}{381}}{360}$$

Express \frac{\frac{230}{381}}{360} as a single fraction.

$$A=\frac{230}{381\times 360}$$

Multiply 381 and 360 to get 137160.

$$A=\frac{230}{137160}$$

Reduce the fraction \frac{230}{137160} to lowest terms by extracting and canceling out 10.

$$A=\frac{23}{13716}$$

The system is now solved.

$$x=\frac{46}{272415} A=\frac{23}{13716}$$