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
Step 1: Separate the given equation into a system of two linear equations. The equation x+y=72x-y=5 implies: x+y=5 (1) 72x-y=5 (2) Step 2: Add equation (1) and equation (2) to eliminate y. (x+y) + (72x-y) = 5+5 x+72x+y-y = 10 73x = 10 Step 3: Solve for x. Divide both sides by 73. x = (10)/(73) Step 4: Substitute the value of x into equation (1) to solve for y. x+y=5 (10)/(73)+y=5 Subtract (10)/(73) from both sides. y = 5 - (10)/(73) To subtract, find a common denominator. y = (5 × 73)/(73) - (10)/(73) y = (365)/(73) - (10)/(73) y = (365-10)/(73) y = (355)/(73) The solutions are: x = (10)/(73), y = (355)/(73) The final answer is x = (10)/(73), y = (355)/(73). Send me the next one 📸