Solve for $x$ in the equation $x / 2=17$.
A) $x=15$
B) $x=34$
C) $x=19$
D) $x=8.5$
Answer (1)
Multiply both sides of the equation by 2: 2 x × 2 = 17 × 2 .
Simplify the equation: x = 34 .
The solution for x is 34.
The final answer is 34 .
Explanation
Understanding the Problem We are given the equation 2 x = 17 and asked to solve for x . This means we need to isolate x on one side of the equation.
Isolating x To isolate x , we can multiply both sides of the equation by 2. This gives us: 2 x × 2 = 17 × 2
Solving for x Simplifying the equation, we get: x = 34
Final Answer Therefore, the solution is x = 34 .
Examples
Imagine you're baking a cake and the recipe calls for half a cup of sugar, but you want to make two cakes. To find out how much sugar you need in total, you would solve the equation x /2 = 1 , where x is the total amount of sugar needed. Multiplying both sides by 2, you find that x = 2 cups of sugar are needed. This simple algebraic equation helps you scale recipes and measure ingredients accurately.
