Solve (-6)^-1divx=9^-1

$$( - 6 ) ^ { - 1 } \div x = 9 ^ { - 1 }$$

Solve for x

$$x = -\frac{3}{2} = -1\frac{1}{2} = -1.5$$

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.

$$\left(-6\right)^{-1}=x\times 9^{-1}$$

Calculate -6 to the power of -1 and get -\frac{1}{6}.

$$-\frac{1}{6}=x\times 9^{-1}$$

Calculate 9 to the power of -1 and get \frac{1}{9}.

$$-\frac{1}{6}=x\times \frac{1}{9}$$

Swap sides so that all variable terms are on the left hand side.

$$x\times \frac{1}{9}=-\frac{1}{6}$$

Multiply both sides by 9, the reciprocal of \frac{1}{9}.

$$x=-\frac{1}{6}\times 9$$

Multiply -\frac{1}{6} and 9 to get -\frac{3}{2}.

$$x=-\frac{3}{2}$$