Solve {l}{10x+6x=25}{-2x+y=20}

$$\left. \begin{array} { l } { 10 x + 6 x = 25 } \\ { - 2 x + y = 20 } \end{array} \right.$$

Solve for x, y

$$x = \frac{25}{16} = 1\frac{9}{16} = 1.5625$$

$$y = \frac{185}{8} = 23\frac{1}{8} = 23.125$$

Solution Steps

Consider the first equation. Combine 10x and 6x to get 16x.

$$16x=25$$

Divide both sides by 16.

$$x=\frac{25}{16}$$

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

$$-2\times \frac{25}{16}+y=20$$

Multiply -2 and \frac{25}{16} to get -\frac{25}{8}.

$$-\frac{25}{8}+y=20$$

Add \frac{25}{8} to both sides.

$$y=20+\frac{25}{8}$$

Add 20 and \frac{25}{8} to get \frac{185}{8}.

$$y=\frac{185}{8}$$

The system is now solved.

$$x=\frac{25}{16} y=\frac{185}{8}$$