Solve {l}{3x+5=14}{2x+10y=5}

$$\left. \begin{array} { l } { 3 x + 5 = 14 } \\ { 2 x + 10 y = 5 } \end{array} \right.$$

Solve for x, y

$$x=3$$

$$y=-\frac{1}{10}=-0.1$$

Solution Steps

Consider the first equation. Subtract 5 from both sides.

$$3x=14-5$$

Subtract 5 from 14 to get 9.

$$3x=9$$

Divide both sides by 3.

$$x=\frac{9}{3}$$

Divide 9 by 3 to get 3.

$$x=3$$

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

$$2\times 3+10y=5$$

Multiply 2 and 3 to get 6.

$$6+10y=5$$

Subtract 6 from both sides.

$$10y=5-6$$

Subtract 6 from 5 to get -1.

$$10y=-1$$

Divide both sides by 10.

$$y=-\frac{1}{10}$$

The system is now solved.

$$x=3 y=-\frac{1}{10}$$