Solve {r}{7x-3=27}{y=4-2x}

$$\left. \begin{array} { r } { 7 x - 3 = 27 } \\ { y = 4 - 2 x } \end{array} \right.$$

Solve for x, y

$$x = \frac{30}{7} = 4\frac{2}{7} \approx 4.285714286$$

$$y = -\frac{32}{7} = -4\frac{4}{7} \approx -4.571428571$$

Solution Steps

Consider the first equation. Add 3 to both sides.

$$7x=27+3$$

Add 27 and 3 to get 30.

$$7x=30$$

Divide both sides by 7.

$$x=\frac{30}{7}$$

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

$$y=4-2\times \frac{30}{7}$$

Multiply -2 and \frac{30}{7} to get -\frac{60}{7}.

$$y=4-\frac{60}{7}$$

Subtract \frac{60}{7} from 4 to get -\frac{32}{7}.

$$y=-\frac{32}{7}$$

The system is now solved.

$$x=\frac{30}{7} y=-\frac{32}{7}$$