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
here are the solutions for finding the equations. a) (2x - 3y + 4)/(4) = 0 Step 1: Multiply both sides of the equation by 4 to eliminate the denominator. 4 × ((2x - 3y + 4)/(4)) = 0 × 4 2x - 3y + 4 = 0 Step 2: The equation is already in the standard form Ax + By + C = 0. The equation is 2x - 3y + 4 = 0. b) (-(x + 2y))/(5x) = 1 Step 1: Multiply both sides of the equation by 5x to eliminate the denominator. 5x × ((-(x + 2y))/(5x)) = 1 × 5x -(x + 2y) = 5x Step 2: Distribute the negative sign on the left side. -x - 2y = 5x Step 3: Move all terms involving x and y to one side of the equation. Add x to both sides. -2y = 5x + x -2y = 6x Step 4: Rearrange to a standard form, for example, Ax + By = 0. 6x + 2y = 0 Step 5: Divide by the common factor of 2 to simplify. 3x + y = 0 The equation is 3x + y = 0. c) (2x - 3y + 4)/(4) = 4 Step 1: Multiply both sides of the equation by 4 to eliminate the denominator. 4 × ((2x - 3y + 4)/(4)) = 4 × 4 2x - 3y + 4 = 16 Step 2: Subtract 16 from both sides to set the equation to Ax + By + C = 0 form. 2x - 3y + 4 - 16 = 0 2x - 3y - 12 = 0 The equation is 2x - 3y - 12 = 0. What's next? 📸