Solve (12/7*sqrt{13})*3x=5

$$( \frac{ 12 }{ 7 } \times \sqrt{ 13 } ) \times 3x=5$$

Solve for x

$$x=\frac{35\sqrt{13}}{468}\approx 0.269645929$$

Steps for Solving Linear Equation

Express 3\times \frac{12}{7} as a single fraction.

$$\frac{3\times 12}{7}\sqrt{13}x=5$$

Multiply 3 and 12 to get 36.

$$\frac{36}{7}\sqrt{13}x=5$$

The equation is in standard form.

$$\frac{36\sqrt{13}}{7}x=5$$

Divide both sides by \frac{36}{7}\sqrt{13}.

$$\frac{7\times \frac{36\sqrt{13}}{7}x}{36\sqrt{13}}=\frac{5\times 7}{36\sqrt{13}}$$

Dividing by \frac{36}{7}\sqrt{13} undoes the multiplication by \frac{36}{7}\sqrt{13}.

$$x=\frac{5\times 7}{36\sqrt{13}}$$

Divide 5 by \frac{36}{7}\sqrt{13}.

$$x=\frac{35\sqrt{13}}{468}$$