Solve {l}{2x+y=6}{4x+3x=44}

$$\left. \begin{array} { l } { 2 x + y = 6 } \\ { 4 x + 3 x = 44 } \end{array} \right.$$

Solve for x, y

$$x = \frac{44}{7} = 6\frac{2}{7} \approx 6.285714286$$

$$y = -\frac{46}{7} = -6\frac{4}{7} \approx -6.571428571$$

Solution Steps

Consider the second equation. Combine 4x and 3x to get 7x.

$$7x=44$$

Divide both sides by 7.

$$x=\frac{44}{7}$$

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

$$2\times \frac{44}{7}+y=6$$

Multiply 2 and \frac{44}{7} to get \frac{88}{7}.

$$\frac{88}{7}+y=6$$

Subtract \frac{88}{7} from both sides.

$$y=6-\frac{88}{7}$$

Subtract \frac{88}{7} from 6 to get -\frac{46}{7}.

$$y=-\frac{46}{7}$$

The system is now solved.

$$x=\frac{44}{7} y=-\frac{46}{7}$$