Problem 33 - Algebra 1: Concepts and Skills

Question

Solve the equation. $$ 15-2 a=7 $$

Step-by-Step Solution

Answer

The solution to the equation \(15 - 2a = 7\) is \(a = 4\).

Step 1: Understanding the equation

The given equation is \(15 - 2a = 7\). The goal is to find the value of the variable \(a\). To do this, \(a\) should be isolated on one side of the equation through algebraic operations.

Step 2: Simplifying the equation

This encompasses moving \(15\) from the left side of the equation to the right side to begin isolating \(a\). In order to do this, subtract \(15\) from both sides of the equation. This yields \(-2a = 7 - 15\).

Step 3: Further simplifying the equation

Calculate the value on the right side of the equation to yield \(-2a = -8\).

Step 4: Solving for \(a\)

Since there is a negative coefficient with \(a\), divide both sides of the equation by -2 to isolate \(a\). This gives \(a = -8 / -2\).

Step 5: Final answer

Calculate the right side of the equation to find \(a = 4\). Hence, the solution to the equation \(15 - 2a = 7\) is \(a = 4\).