Question

1. solve for x.

$4 + \frac{1}{5}x = 1$

1. simplify the expression.

$-5a - 3 + 6a + 9$

Explanation:

Problem 2: Solve for \( x \) in \( 4 + \frac{1}{5}x = 1 \)

Step 1: Subtract 4 from both sides

To isolate the term with \( x \), we subtract 4 from both sides of the equation.
\( 4 + \frac{1}{5}x - 4 = 1 - 4 \)
Simplifying both sides gives:
\( \frac{1}{5}x = -3 \)

Step 2: Multiply both sides by 5

To solve for \( x \), we multiply both sides of the equation by 5 (the reciprocal of \( \frac{1}{5} \)).
\( 5 \times \frac{1}{5}x = -3 \times 5 \)
Simplifying both sides gives:
\( x = -15 \)

Step 1: Combine like terms (terms with \( a \))

We combine the terms with \( a \): \( -5a + 6a \).
\( -5a + 6a = a \)

Step 2: Combine constant terms

We combine the constant terms: \( -3 + 9 \).
\( -3 + 9 = 6 \)

Step 3: Combine the results

Combining the results from Step 1 and Step 2, we get:
\( a + 6 \)

Answer:

\( x = -15 \)

Problem 4: Simplify \( -5a - 3 + 6a + 9 \)