4.5x – 2y = 153x - y =10(answer as a combined pair)

Answer:x = 10/3 , y = 0Step-by-step explanation:Solve the following system: {4.5 x - 2 y = 15 3 x - y = 10 In the first equation, look to solve for x: {4.5 x - 2 y = 15 3 x - y = 10 4.5 x - 2 y = (9 x)/2 - 2 y: (9 x)/2 - 2 y = 15 Add 2 y to both sides: {(9 x)/2 = 2 y + 15 3 x - y = 10 Multiply both sides by 2/9: {x = (4 y)/9 + 10/3 3 x - y = 10 Substitute x = (4 y)/9 + 10/3 into the second equation: {x = (4 y)/9 + 10/3 3 ((4 y)/9 + 10/3) - y = 10 3 ((4 y)/9 + 10/3) - y = ((4 y)/3 + 10) - y = y/3 + 10: {x = (4 y)/9 + 10/3 y/3 + 10 = 10 In the second equation, look to solve for y: {x = (4 y)/9 + 10/3 y/3 + 10 = 10 Subtract 10 from both sides: {x = (4 y)/9 + 10/3 y/3 = 0 Multiply both sides by 3: {x = (4 y)/9 + 10/3 y = 0 Substitute y = 0 into the first equation: Answer:  {x = 10/3 , y = 0