Solve {l}{-6x+5y=1}{6x+4x=-10}

$$\left. \begin{array} { l } { - 6 x + 5 y = 1 } \\ { 6 x + 4 x = - 10 } \end{array} \right.$$

Solve for x, y

$$x=-1$$

$$y=-1$$

Solution Steps

Consider the second equation. Combine 6x and 4x to get 10x.

$$10x=-10$$

Divide both sides by 10.

$$x=\frac{-10}{10}$$

Divide -10 by 10 to get -1.

$$x=-1$$

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

$$-6\left(-1\right)+5y=1$$

Multiply -6 and -1 to get 6.

$$6+5y=1$$

Subtract 6 from both sides.

$$5y=1-6$$

Subtract 6 from 1 to get -5.

$$5y=-5$$

Divide both sides by 5.

$$y=\frac{-5}{5}$$

Divide -5 by 5 to get -1.

$$y=-1$$

The system is now solved.

$$x=-1 y=-1$$