Solve {l}{2*4y=94}{x+y=35}

$$\left. \begin{array} { l } { 2 \times 4 y = 94 } \\ { x + y = 35 } \end{array} \right.$$

Solve for y, x

$$x = \frac{93}{4} = 23\frac{1}{4} = 23.25$$

$$y = \frac{47}{4} = 11\frac{3}{4} = 11.75$$

Solution Steps

Consider the first equation. Multiply 2 and 4 to get 8.

$$8y=94$$

Divide both sides by 8.

$$y=\frac{94}{8}$$

Reduce the fraction \frac{94}{8} to lowest terms by extracting and canceling out 2.

$$y=\frac{47}{4}$$

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

$$x+\frac{47}{4}=35$$

Subtract \frac{47}{4} from both sides.

$$x=35-\frac{47}{4}$$

Subtract \frac{47}{4} from 35 to get \frac{93}{4}.

$$x=\frac{93}{4}$$

The system is now solved.

$$y=\frac{47}{4} x=\frac{93}{4}$$