Selesaikan setiap persamaan linear serentak yang berikut dengan menggunakan kaedah penghapusan. Solve each of the following simultaneous linear equations by using elimination method.

Here are the solutions for the simultaneous linear equations using the elimination method. 1. Solve: x - y = 6 (1) 2x + y = 3 (2) Step 1: Add equation (1) and equation (2) to eliminate y. (x - y) + (2x + y) = 6 + 3 3x = 9 Step 2: Solve for x. x = (9)/(3) x = 3 Step 3: Substitute x = 3 into equation (1). 3 - y = 6 -y = 6 - 3 -y = 3 y = -3 The solution is x = 3, y = -3. 2. Solve: 5x - 2y = 5 (1) 3x - 2y = -1 (2) Step 1: Subtract equation (2) from equation (1) to eliminate y. (5x - 2y) - (3x - 2y) = 5 - (-1) 5x - 2y - 3x + 2y = 5 + 1 2x = 6 Step 2: Solve for x. x = (6)/(2) x = 3 Step 3: Substitute x = 3 into equation (1). 5(3) - 2y = 5 15 - 2y = 5 -2y = 5 - 15 -2y = -10 Step 4: Solve for y. y = (-10)/(-2) y = 5 The solution is x = 3, y = 5. 3. Solve: 5x - 2y = 6 (1) 2x + 3y = 10 (2) Step 1: Multiply equation (1) by 3 and equation (2) by 2 to make the coefficients of y equal. 3 × (5x - 2y) = 3 × 6 15x - 6y = 18 (3) 2 × (2x + 3y) = 2 × 10 4x + 6y = 20 (4) Step 2: Add equation (3) and equation (4) to eliminate y. (15x - 6y) + (4x + 6y) = 18 + 20 19x = 38 Step 3: Solve for x. x = (38)/(19) x = 2 Step 4: Substitute x = 2 into equation (2). 2(2) + 3y = 10 4 + 3y = 10 3y = 10 - 4 3y = 6 Step 5: Solve for y. y = (6)/(3) y = 2 The solution is x = 2, y = 2. 4. Solve: 4x - 5y = 13 (1) 2x - 3y = 7 (2) Step 1: Multiply equation (2) by 2 to make the coefficients of x equal. 2 × (2x - 3y) = 2 × 7 4x - 6y = 14 (3) Step 2: Subtract equation (3) from equation (1) to eliminate x. (4x - 5y) - (4x - 6y) = 13 - 14 4x - 5y - 4x + 6y = -1 y = -1 Step 3: Substitute y = -1 into equation (2). 2x - 3(-1) = 7 2x + 3 = 7 2x = 7 - 3 2x = 4 Step 4: Solve for x. x = (4)/(2) x = 2 The solution is x = 2, y = -1. Send me the next one 📸