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

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

Solve for x, y

$$x=1$$

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

Solution Steps

Consider the second equation. Combine 6y and 2y to get 8y.

$$8y=4$$

Divide both sides by 8.

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

Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.

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

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

$$3x+4\times \frac{1}{2}=5$$

Multiply 4 and \frac{1}{2} to get 2.

$$3x+2=5$$

Subtract 2 from both sides.

$$3x=5-2$$

Subtract 2 from 5 to get 3.

$$3x=3$$

Divide both sides by 3.

$$x=\frac{3}{3}$$

Divide 3 by 3 to get 1.

$$x=1$$

The system is now solved.

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