Solve {l}{167+5x+2=3}{5x-7y=2}

$$\left. \begin{array} { l } { 167 + 5 x + 2 = 3 } \\ { 5 x - 7 y = 2 } \end{array} \right.$$

Solve for x, y

$$x = -\frac{166}{5} = -33\frac{1}{5} = -33.2$$

$$y=-24$$

Solution Steps

Consider the first equation. Add 167 and 2 to get 169.

$$169+5x=3$$

Subtract 169 from both sides.

$$5x=3-169$$

Subtract 169 from 3 to get -166.

$$5x=-166$$

Divide both sides by 5.

$$x=-\frac{166}{5}$$

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

$$5\left(-\frac{166}{5}\right)-7y=2$$

Multiply 5 and -\frac{166}{5} to get -166.

$$-166-7y=2$$

Add 166 to both sides.

$$-7y=2+166$$

Add 2 and 166 to get 168.

$$-7y=168$$

Divide both sides by -7.

$$y=\frac{168}{-7}$$

Divide 168 by -7 to get -24.

$$y=-24$$

The system is now solved.

$$x=-\frac{166}{5} y=-24$$