Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Jan 17, 2024

Solve the linear equation $-9x - g = -27g$ for $x$ and $g$ .

STEP 1

Assumptions
1. The equation to solve is $-9x - g = -27g$ .
2. We need to solve for $x$ .

STEP 2

First, we want to isolate the term containing $x$ on one side of the equation. To do this, we can add $g$ to both sides of the equation to move the term involving $g$ on the right side to the left side.
$-9x - g + g = -27g + g$

STEP 3

Now, simplify both sides of the equation.
$-9x = -26g$

STEP 4

Next, we want to solve for $x$ . To do this, we divide both sides of the equation by $-9$ .
$\frac{-9x}{-9} = \frac{-26g}{-9}$

STEP 5

Simplify the equation to find the value of $x$ .
$x = \frac{26g}{9}$
The solution to the equation $-9x - g = -27g$ is $x = \frac{26g}{9}$ .

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