Solve 0.3:0.7=9:x

$$0.3 : 0.7 = 9 : x$$

Solve for x

$$x=21$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$x\times \frac{0.3}{0.7}=9$$

Expand \frac{0.3}{0.7} by multiplying both numerator and the denominator by 10.

$$x\times \frac{3}{7}=9$$

Multiply both sides by \frac{7}{3}, the reciprocal of \frac{3}{7}.

$$x=9\times \frac{7}{3}$$

Express 9\times \frac{7}{3} as a single fraction.

$$x=\frac{9\times 7}{3}$$

Multiply 9 and 7 to get 63.

$$x=\frac{63}{3}$$

Divide 63 by 3 to get 21.

$$x=21$$