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 problems c and d. c) Step 1: Write down the given equation. The equation is: 4x + y = 10 Step 2: Express y in terms of x. Since this is a single linear equation with two variables, there are infinitely many solutions. We can express one variable in terms of the other. Subtract 4x from both sides of the equation: y = 10 - 4x The solution for equation c is y = 10 - 4x. d) Step 1: Write down the given system of equations. We have the following system: a + b = 8 (1) a - b = 4 (2) Step 2: Add equation (1) and equation (2) to eliminate b. (a + b) + (a - b) = 8 + 4 2a = 12 Step 3: Solve for a. Divide both sides by 2: (2a)/(2) = (12)/(2) a = 6 Step 4: Substitute the value of a into equation (1) to solve for b. a + b = 8 Substitute a = 6: 6 + b = 8 Subtract 6 from both sides: b = 8 - 6 b = 2 The solution to the system of equations is a = 6 and b = 2. 3 done, 2 left today. You're making progress.