Solve {l}{5x+2=1}{5x+y=10}

$$\left\{ \begin{array} { l } { 5 x + 2 = 1 } \\ { 5 x + y = 10 } \end{array} \right.$$

Solve for x, y

$$x=-\frac{1}{5}=-0.2$$

$$y=11$$

Solution Steps

Consider the first equation. Subtract 2 from both sides.

$$5x=1-2$$

Subtract 2 from 1 to get -1.

$$5x=-1$$

Divide both sides by 5.

$$x=-\frac{1}{5}$$

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

$$5\left(-\frac{1}{5}\right)+y=10$$

Multiply 5 and -\frac{1}{5} to get -1.

$$-1+y=10$$

Add 1 to both sides.

$$y=10+1$$

Add 10 and 1 to get 11.

$$y=11$$

The system is now solved.

$$x=-\frac{1}{5} y=11$$