Solve {l}{10x+35=1035}{x+y=900}

$$\left. \begin{array} { l } { 10 x + 35 = 1035 } \\ { x + y = 900 } \end{array} \right.$$

Solve for x, y

$$x=100$$

$$y=800$$

Solution Steps

Consider the first equation. Subtract 35 from both sides.

$$10x=1035-35$$

Subtract 35 from 1035 to get 1000.

$$10x=1000$$

Divide both sides by 10.

$$x=\frac{1000}{10}$$

Divide 1000 by 10 to get 100.

$$x=100$$

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

$$100+y=900$$

Subtract 100 from both sides.

$$y=900-100$$

Subtract 100 from 900 to get 800.

$$y=800$$

The system is now solved.

$$x=100 y=800$$