Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Dec 09, 2023

Solve linear equation $-\frac{1}{9} x + 3 = 0$ to find the value of $x$ .

STEP 1

Assumptions
1. We are given the linear equation $-\frac{1}{9} x + 3 = 0$ .
2. We need to solve for the variable $x$ .

STEP 2

To solve for $x$ , we first want to isolate the $x$ term on one side of the equation. We can start by subtracting 3 from both sides of the equation to move the constant term to the other side.
$-\frac{1}{9} x + 3 - 3 = 0 - 3$

STEP 3

Simplify both sides of the equation.
$-\frac{1}{9} x = -3$

STEP 4

Now, to solve for $x$ , we need to get rid of the coefficient $-\frac{1}{9}$ that is attached to $x$ . We can do this by multiplying both sides of the equation by the reciprocal of $-\frac{1}{9}$ , which is $-9$ .
$-9 \cdot \left(-\frac{1}{9} x\right) = -9 \cdot (-3)$

STEP 5

Simplify both sides of the equation by performing the multiplication.
$x = 27$
The solution to the equation $-\frac{1}{9} x + 3 = 0$ is $x = 27$ .

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