Solve {l}{4x-3y=5}{3y-4y=7}

$$\left\{ \begin{array} { l } { 4 x - 3 y = 5 } \\ { 3 y - 4 y = 7 } \end{array} \right.$$

Solve for x, y

$$x=-4$$

$$y=-7$$

Solution Steps

Consider the second equation. Combine 3y and -4y to get -y.

$$-y=7$$

Divide both sides by -1.

$$y=-7$$

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

$$4x-3\left(-7\right)=5$$

Multiply -3 and -7 to get 21.

$$4x+21=5$$

Subtract 21 from both sides.

$$4x=5-21$$

Subtract 21 from 5 to get -16.

$$4x=-16$$

Divide both sides by 4.

$$x=\frac{-16}{4}$$

Divide -16 by 4 to get -4.

$$x=-4$$

The system is now solved.

$$x=-4 y=-7$$