Solve {l}{448x+394y=736}{594y+448y=876}

$$\left. \begin{array} { l } { 448 x + 394 y = 736 } \\ { 594 y + 448 y = 876 } \end{array} \right.$$

Solve for x, y

$$x=\frac{52721}{58352}\approx 0.903499452$$

$$y=\frac{438}{521}\approx 0.840690979$$

Solution Steps

Consider the second equation. Combine 594y and 448y to get 1042y.

$$1042y=876$$

Divide both sides by 1042.

$$y=\frac{876}{1042}$$

Reduce the fraction \frac{876}{1042} to lowest terms by extracting and canceling out 2.

$$y=\frac{438}{521}$$

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

$$448x+394\times \frac{438}{521}=736$$

Multiply 394 and \frac{438}{521} to get \frac{172572}{521}.

$$448x+\frac{172572}{521}=736$$

Subtract \frac{172572}{521} from both sides.

$$448x=736-\frac{172572}{521}$$

Subtract \frac{172572}{521} from 736 to get \frac{210884}{521}.

$$448x=\frac{210884}{521}$$

Divide both sides by 448.

$$x=\frac{\frac{210884}{521}}{448}$$

Express \frac{\frac{210884}{521}}{448} as a single fraction.

$$x=\frac{210884}{521\times 448}$$

Multiply 521 and 448 to get 233408.

$$x=\frac{210884}{233408}$$

Reduce the fraction \frac{210884}{233408} to lowest terms by extracting and canceling out 4.

$$x=\frac{52721}{58352}$$

The system is now solved.

$$x=\frac{52721}{58352} y=\frac{438}{521}$$