Solve for x

Question

.

−9−2/3x=1

(1 point)
Responses

x=−15
x equals negative 15

x=−8
x equals negative 8

x=15
x equals 15

x=10

Answer 1

To solve the equation $-9-\frac{2}{3}x=1$, follow these steps:

1. Start by isolating the term with $x$. First, add 9 to both sides of the equation:

   $$-\frac{2}{3}x=1+9$$

   $$-\frac{2}{3}x=10$$

2. Next, to eliminate the negative sign in front of $\frac{2}{3}x$, multiply both sides by -1:

   $$\frac{2}{3}x=-10$$

3. Now, to solve for $x$, multiply both sides by the reciprocal of $\frac{2}{3}$, which is $\frac{3}{2}$:

   $$x=-10\times \frac{3}{2}$$

   $$x=-15$$

Thus, the solution is:

$$\boxed{{\displaystyle -15}}$$