Is it possible to solve a mathematical equation with variables using the BOMDAS/PEMDAS method?
Answer (1)
Answer:Yes, you can use the BOMDAS/PEMDAS method to solve mathematical equations with variables. BOMDAS (Brackets, Orders, Multiplication and Division, Addition and Subtraction) and PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) are rules for the order of operations in mathematics. They help ensure that expressions are evaluated correctly.Here's how you can apply BOMDAS/PEMDAS to equations with variables:1. **Parentheses/Brackets:** First, simplify any expressions inside parentheses or brackets.2. **Exponents/Orders:** Next, evaluate any exponents (or orders such as squares, cubes, etc.).3. **Multiplication and Division:** After handling parentheses and exponents, perform multiplication and division from left to right.4. **Addition and Subtraction:** Finally, perform addition and subtraction from left to right.### ExampleSolve the following equation for \( x \):\[ 2(x + 3) - 4 = 10 \]**Step 1: Parentheses/Brackets**Simplify inside the parentheses:\[ 2(x + 3) - 4 = 10 \]**Step 2: Distribute**Apply multiplication:\[ 2x + 6 - 4 = 10 \]**Step 3: Simplify**Combine like terms:\[ 2x + 2 = 10 \]**Step 4: Solve for \( x \)**Subtract 2 from both sides:\[ 2x = 8 \]Divide by 2:\[ x = 4 \]Thus, the solution is \( x = 4 \).By following BOMDAS/PEMDAS, you ensure that each step in the solution process is handled in the correct order, leading to accurate results.Step-by-step explanation:
