Solve {l}{x+4=65}{63x+50y=4100}

$$\left. \begin{array} { l } { x + 4 = 65 } \\ { 63 x + 50 y = 4100 } \end{array} \right.$$

Solve for x, y

$$x=61$$

$$y = \frac{257}{50} = 5\frac{7}{50} = 5.14$$

Solution Steps

Consider the first equation. Subtract 4 from both sides.

$$x=65-4$$

Subtract 4 from 65 to get 61.

$$x=61$$

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

$$63\times 61+50y=4100$$

Multiply 63 and 61 to get 3843.

$$3843+50y=4100$$

Subtract 3843 from both sides.

$$50y=4100-3843$$

Subtract 3843 from 4100 to get 257.

$$50y=257$$

Divide both sides by 50.

$$y=\frac{257}{50}$$

The system is now solved.

$$x=61 y=\frac{257}{50}$$