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

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

Solve for x, y

$$x=1$$

$$y=\frac{1}{2}=0.5$$

Solution Steps

Consider the second equation. Combine 4y and 2y to get 6y.

$$6y=3$$

Divide both sides by 6.

$$y=\frac{3}{6}$$

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

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

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

$$5x+2\times \frac{1}{2}=6$$

Multiply 2 and \frac{1}{2} to get 1.

$$5x+1=6$$

Subtract 1 from both sides.

$$5x=6-1$$

Subtract 1 from 6 to get 5.

$$5x=5$$

Divide both sides by 5.

$$x=\frac{5}{5}$$

Divide 5 by 5 to get 1.

$$x=1$$

The system is now solved.

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