Solve -5/3x_{2}+5/3x_{3}=16/3

$$- \frac { 5 } { 3 } x _ { 2 } + \frac { 5 } { 3 } x _ { 3 } = \frac { 16 } { 3 }$$

Solve for x_2

$$x_{2}=x_{3}-\frac{16}{5}$$

Steps for Solving Linear Equation

Subtract \frac{5}{3}x_{3} from both sides.

$$-\frac{5}{3}x_{2}=\frac{16}{3}-\frac{5}{3}x_{3}$$

The equation is in standard form.

$$-\frac{5}{3}x_{2}=\frac{16-5x_{3}}{3}$$

Divide both sides of the equation by -\frac{5}{3}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{5}{3}x_{2}}{-\frac{5}{3}}=\frac{16-5x_{3}}{-\frac{5}{3}\times 3}$$

Dividing by -\frac{5}{3} undoes the multiplication by -\frac{5}{3}.

$$x_{2}=\frac{16-5x_{3}}{-\frac{5}{3}\times 3}$$

Divide \frac{16-5x_{3}}{3} by -\frac{5}{3} by multiplying \frac{16-5x_{3}}{3} by the reciprocal of -\frac{5}{3}.

$$x_{2}=x_{3}-\frac{16}{5}$$

Solve for x_3

$$x_{3}=x_{2}+\frac{16}{5}$$

Steps for Solving Linear Equation

Add \frac{5}{3}x_{2} to both sides.

$$\frac{5}{3}x_{3}=\frac{16}{3}+\frac{5}{3}x_{2}$$

The equation is in standard form.

$$\frac{5}{3}x_{3}=\frac{5x_{2}+16}{3}$$

Divide both sides of the equation by \frac{5}{3}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{5}{3}x_{3}}{\frac{5}{3}}=\frac{5x_{2}+16}{\frac{5}{3}\times 3}$$

Dividing by \frac{5}{3} undoes the multiplication by \frac{5}{3}.

$$x_{3}=\frac{5x_{2}+16}{\frac{5}{3}\times 3}$$

Divide \frac{16+5x_{2}}{3} by \frac{5}{3} by multiplying \frac{16+5x_{2}}{3} by the reciprocal of \frac{5}{3}.

$$x_{3}=x_{2}+\frac{16}{5}$$