Solve {l}{100x+4y=233}{5x-7=14}

$$\left. \begin{array} { l } { 100 x + 4 y = 233 } \\ { 5 x - 7 = 14 } \end{array} \right.$$

Solve for x, y

$$x = \frac{21}{5} = 4\frac{1}{5} = 4.2$$

$$y = -\frac{187}{4} = -46\frac{3}{4} = -46.75$$

Solution Steps

Consider the second equation. Add 7 to both sides.

$$5x=14+7$$

Add 14 and 7 to get 21.

$$5x=21$$

Divide both sides by 5.

$$x=\frac{21}{5}$$

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

$$100\times \frac{21}{5}+4y=233$$

Multiply 100 and \frac{21}{5} to get 420.

$$420+4y=233$$

Subtract 420 from both sides.

$$4y=233-420$$

Subtract 420 from 233 to get -187.

$$4y=-187$$

Divide both sides by 4.

$$y=-\frac{187}{4}$$

The system is now solved.

$$x=\frac{21}{5} y=-\frac{187}{4}$$