Solve {l}{3-4y=-5}{x-2y=-6}

$$\left. \begin{array} { l } { 3 - 4 y = - 5 } \\ { x - 2 y = - 6 } \end{array} \right.$$

Solve for y, x

$$x=-2$$

$$y=2$$

Solution Steps

Consider the first equation. Subtract 3 from both sides.

$$-4y=-5-3$$

Subtract 3 from -5 to get -8.

$$-4y=-8$$

Divide both sides by -4.

$$y=\frac{-8}{-4}$$

Divide -8 by -4 to get 2.

$$y=2$$

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

$$x-2\times 2=-6$$

Multiply -2 and 2 to get -4.

$$x-4=-6$$

Add 4 to both sides.

$$x=-6+4$$

Add -6 and 4 to get -2.

$$x=-2$$

The system is now solved.

$$y=2 x=-2$$