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
Welcome back Onimowo — missed you this week. The problem asks to solve the simultaneous equations graphically. Since I cannot perform graphical plotting directly, I will solve the first pair of equations (Problem 1) using an algebraic method (elimination method), which is a common way to solve such problems. The system of equations for Problem 1 is: 2x + 3y = 8 (1) 3x + 2y = 7 (2) Step 1: Multiply the equations to make the coefficients of one variable equal. To eliminate y, multiply equation (1) by 2 and equation (2) by 3: 2 × (2x + 3y) = 2 × 8 4x + 6y = 16 (3) 3 × (3x + 2y) = 3 × 7 9x + 6y = 21 (4) Step 2: Subtract equation (3) from equation (4) to eliminate y. (9x + 6y) - (4x + 6y) = 21 - 16 9x - 4x + 6y - 6y = 5 5x = 5 Step 3: Solve for x. (5x)/(5) = (5)/(5) x = 1 Step 4: Substitute the value of x into one of the original equations to find y. Using equation (1): 2(1) + 3y = 8 2 + 3y = 8 3y = 8 - 2 3y = 6 Step 5: Solve for y. (3y)/(3) = (6)/(3) y = 2 The solution to the system of equations is x=1 and y=2. x=1, y=2 Send me the next one 📸