This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
To solve these types of mathematics problems, which are linear equations, the main goal is to isolate the variable (like y, q, x, or c) on one side of the equation. You achieve this by performing inverse operations to move numbers away from the variable. Here's how it works: • If a number is added to the variable term, you subtract it from both sides of the equation. • If a number is subtracted from the variable term, you add it to both sides of the equation. • If a number is multiplying the variable, you divide both sides by that number. • If a number is dividing the variable, you multiply both sides by that number. Let's take the first problem, 2y + 8 = 20, as an example: Step 1: The number 8 is added to 2y. To move it, we perform the inverse operation: subtract 8 from both sides. 2y + 8 - 8 = 20 - 8 This simplifies to: 2y = 12 Step 2: The number 2 is multiplying y. To move it, we perform the inverse operation: divide both sides by 2. (2y)/(2) = (12)/(2) This simplifies to: y = 6 By following these steps, you systematically isolate the variable to find its value. What's next?