Solve the equation using inverse operations.
1/3x=-9
To solve the equation, we want to isolate the variable x.
We can start by multiplying both sides of the equation by the reciprocal of 1/3, which is 3/1 or simply 3.
(1/3)x = -9
(3)(1/3)x = (3)(-9)
x = -27
To solve the equation, we want to isolate the variable x.
Step 1: Multiply both sides of the equation by the reciprocal of 1/3, which is 3/1 or simply 3. This will cancel out the fraction on the left side of the equation.
1/3x * 3 = -9 * 3
Simplifying, we have:
x = -27
Therefore, the solution to the equation is x = -27.
To solve the equation 1/3x = -9, we need to isolate the variable x.
To do this, we will use inverse operations, which means we will do the opposite of each operation that has been done to x.
Step 1: The equation shows that x is being multiplied by 1/3. To undo multiplication, we will multiply both sides of the equation by the reciprocal of 1/3, which is 3/1 or simply 3.
(1/3x) * (3) = -9 * (3)
Simplifying, we get:
3/3x = -27
Step 2: We still have a multiplication on the left side of the equation. To undo this, we will divide both sides by 3.
(3/3x) / (3) = -27 / (3)
Simplifying, we get:
1x = -9
Step 3: Since 1 times x is simply x, we can rewrite the equation as:
x = -9
Therefore, the solution to the equation 1/3x = -9 is x = -9.