Solve {c}{8+y=85}{3*16x=2*10y}

$$\left. \begin{array} { c } { 8 + y = 85 } \\ { 3 \cdot 16 x = 2 \cdot 10 y } \end{array} \right.$$

Solve for y, x

$$x = \frac{385}{12} = 32\frac{1}{12} \approx 32.083333333$$

$$y=77$$

Solution Steps

Consider the first equation. Subtract 8 from both sides.

$$y=85-8$$

Subtract 8 from 85 to get 77.

$$y=77$$

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

$$3\times 16x=2\times 10\times 77$$

Multiply 3 and 16 to get 48.

$$48x=2\times 10\times 77$$

Multiply 2 and 10 to get 20.

$$48x=20\times 77$$

Multiply 20 and 77 to get 1540.

$$48x=1540$$

Divide both sides by 48.

$$x=\frac{1540}{48}$$

Reduce the fraction \frac{1540}{48} to lowest terms by extracting and canceling out 4.

$$x=\frac{385}{12}$$

The system is now solved.

$$y=77 x=\frac{385}{12}$$