Solve {l}{3x-7y=-15}{4x-3x=6}

$$\left\{ \begin{array} { l } { 3 x - 7 y = - 15 } \\ { 4 x - 3 x = 6 } \end{array} \right.$$

Solve for x, y

$$x=6$$

$$y = \frac{33}{7} = 4\frac{5}{7} \approx 4.714285714$$

Solution Steps

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

$$x=6$$

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

$$3\times 6-7y=-15$$

Multiply 3 and 6 to get 18.

$$18-7y=-15$$

Subtract 18 from both sides.

$$-7y=-15-18$$

Subtract 18 from -15 to get -33.

$$-7y=-33$$

Divide both sides by -7.

$$y=\frac{-33}{-7}$$

Fraction \frac{-33}{-7} can be simplified to \frac{33}{7} by removing the negative sign from both the numerator and the denominator.

$$y=\frac{33}{7}$$

The system is now solved.

$$x=6 y=\frac{33}{7}$$