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.
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Problem 1: Step 1: The problem asks to solve for x in the equation 3x - 7 = 14. Step 2: Add 7 to both sides of the equation to isolate the term with x. 3x - 7 + 7 = 14 + 7 3x = 21 Step 3: Divide both sides by 3 to solve for x. (3x)/(3) = (21)/(3) x = 7 x = 7 Send me the next one 📸 Problem 2: Step 1: The problem asks to simplify the expression 5(y + 2) - 3y. Step 2: Distribute the 5 to the terms inside the parentheses. 5 × y + 5 × 2 - 3y 5y + 10 - 3y Step 3: Combine like terms (the terms with y). (5y - 3y) + 10 2y + 10 2y + 10 Send me the next one 📸 Problem 3: Step 1: The problem asks to find the area of a rectangle with length l = 8 cm and width w = 5 cm. Step 2: Use the formula for the area of a rectangle, which is Area = length × width. Area = l × w Step 3: Substitute the given values for length and width into the formula. Area = 8 cm × 5 cm Step 4: Calculate the area. Area = 40 cm^2 40 cm^2 Send me the next one 📸