Solve -11/15x=-16:-11/15x

$$- 1 \frac { 1 } { 15 } x = - 16 : - 1 \frac { 1 } { 15 } x$$

Solve for x

$$x=0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15.

$$15\left(-\frac{1\times 15+1}{15}\right)x=15\times \frac{-16}{-\frac{1\times 15+1}{15}}x$$

Multiply 1 and 15 to get 15.

$$15\left(-\frac{15+1}{15}\right)x=15\times \frac{-16}{-\frac{1\times 15+1}{15}}x$$

Add 15 and 1 to get 16.

$$15\left(-\frac{16}{15}\right)x=15\times \frac{-16}{-\frac{1\times 15+1}{15}}x$$

Cancel out 15 and 15.

$$-16x=15\times \frac{-16}{-\frac{1\times 15+1}{15}}x$$

Multiply 1 and 15 to get 15.

$$-16x=15\times \frac{-16}{-\frac{15+1}{15}}x$$

Add 15 and 1 to get 16.

$$-16x=15\times \frac{-16}{-\frac{16}{15}}x$$

Divide -16 by -\frac{16}{15} by multiplying -16 by the reciprocal of -\frac{16}{15}.

$$-16x=15\left(-16\right)\left(-\frac{15}{16}\right)x$$

Multiply -16 times -\frac{15}{16}.

$$-16x=15\times 15x$$

Multiply 15 and 15 to get 225.

$$-16x=225x$$

Subtract 225x from both sides.

$$-16x-225x=0$$

Combine -16x and -225x to get -241x.

$$-241x=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since -241 is not equal to 0, x must be equal to 0.

$$x=0$$