Solve {c}{4x+5y=3}{5y=5}

$$\left. \begin{array} { c } { 4 x + 5 y = 3 } \\ { 5 y = 5 } \end{array} \right.$$

Solve for x, y

$$x=-\frac{1}{2}=-0.5$$

$$y=1$$

Solution Steps

Consider the second equation. Divide both sides by 5.

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

Divide 5 by 5 to get 1.

$$y=1$$

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

$$4x+5\times 1=3$$

Multiply 5 and 1 to get 5.

$$4x+5=3$$

Subtract 5 from both sides.

$$4x=3-5$$

Subtract 5 from 3 to get -2.

$$4x=-2$$

Divide both sides by 4.

$$x=\frac{-2}{4}$$

Reduce the fraction \frac{-2}{4} to lowest terms by extracting and canceling out 2.

$$x=-\frac{1}{2}$$

The system is now solved.

$$x=-\frac{1}{2} y=1$$